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Articles 1 - 30 of 412
Full-Text Articles in Physical Sciences and Mathematics
On A Tower Of Garcia And Stichtenoth, Seher Tutdere
On A Tower Of Garcia And Stichtenoth, Seher Tutdere
Turkish Journal of Mathematics
In 2003, Garcia and Stichtenoth constructed a recursive tower F = (F_n)_{n \geq 0} of algebraic function fields over the finite field F_q, where q = l^r with r \geq 1 and l > 2 is a power of the characteristic of F_q. They also gave a lower bound for the limit of this tower. In this paper, we compute the exact value of the genus of the algebraic function field F_n/F_q for each n \geq 0. Moreover, we prove that when q = 2^k, with k \geq 2, the limit of the tower F attains the lower bound given by …
Homological Dimensions Of Complexes Related To Cotorsion Pairs, Chongqing Wei, Limin Wang, Husheng Qiao
Homological Dimensions Of Complexes Related To Cotorsion Pairs, Chongqing Wei, Limin Wang, Husheng Qiao
Turkish Journal of Mathematics
Let (A, B) be a cotorsion pair in R-Mod. We define and study notions of A dimension and B dimension of unbounded complexes, which is given by means of dg-projective resolution and dg-injective resolution, respectively. As an application, we extend the Gorenstein flat dimension of complexes, which was defined by Iacob. Gorenstein cotorsion, FP-projective, FP-injective, Ding projective, and Ding injective dimension are also extended from modules to complexes. Moreover, we characterize Noetherian rings, von Neumann regular rings, and QF rings by the FP-projective, FP-injective, and Ding projective (injective) dimension of complexes, respectively.
Highly Nonconcurrent Longest Paths And Cycles In Lattices, Yasir Bashir
Highly Nonconcurrent Longest Paths And Cycles In Lattices, Yasir Bashir
Turkish Journal of Mathematics
We investigate here the connected graphs with the property that any pair of vertices are missed by some longest paths (or cycles), embeddable in n-dimensional lattices L^n where L denotes the set of integers.
On Transformations Of Index 1, Leyla Bugay, Osman Kelekci̇
On Transformations Of Index 1, Leyla Bugay, Osman Kelekci̇
Turkish Journal of Mathematics
The index and the period of an element a of a finite semigroup are defined as the smallest values of m \geq 1 and r \geq 1 such that a^{m+r}=a^m, respectively. If m=1 then a is called an element of index 1. The aim of this paper is to find some properties of the elements of index 1 in T_n, which we call transformations of index 1.
Horizontally Submersions Of Contact Cr-Submanifolds, Fortune Massamba, Tshikunguila Tshikuna-Matamba
Horizontally Submersions Of Contact Cr-Submanifolds, Fortune Massamba, Tshikunguila Tshikuna-Matamba
Turkish Journal of Mathematics
In this paper, we discuss some geometric properties of almost contact metric submersions involving symplectic manifolds. We show that the structures of quasi-K-cosymplectic and quasi-Kenmotsu manifolds are related to (1, 2)-symplectic structures. For horizontally submersions of contact CR-submanifolds of quasi-K-cosymplectic and quasi-Kenmotsu manifolds, we study the principal characteristics and prove that their total spaces are CR-product. Curvature properties between curvatures of quasi-K-cosymplectic and quasi-Kenmotsu manifolds and the base spaces of such submersions are also established. We finally prove that, under a certain condition, the contact CR-submanifold of a quasi Kenmotsu manifold is locally a product of a totally geodesic leaf …
On Biharmonic Legendre Curves In S-Space Forms, Ci̇han Özgür, Şaban Güvenç
On Biharmonic Legendre Curves In S-Space Forms, Ci̇han Özgür, Şaban Güvenç
Turkish Journal of Mathematics
We study biharmonic Legendre curves in S-space forms. We find curvature characterizations of these special curves in 4 cases.
Adapted Basic Connections To A Certain Subfoliation On The Tangent Manifold Of A Finsler Space, Adelina Manea, Cristian Ida
Adapted Basic Connections To A Certain Subfoliation On The Tangent Manifold Of A Finsler Space, Adelina Manea, Cristian Ida
Turkish Journal of Mathematics
On the slit tangent manifold TM^0 of a Finsler space (M,F) there are given some natural foliations as vertical foliation and some other fundamental foliations produced by the vertical and horizontal Liouville vector fields, see [A. Bejancu, H. R. Farran, Finsler Geometry and Natural Foliations on the Tangent Bundle, Rep. Math. Physics 58, No. 1 (2006), 131--146]. In this paper we consider a (n,2n-1)-codimensional subfoliation (F_V,F_{\Gamma}) on TM^0 given by vertical foliation F_V and the line foliation spanned by vertical Liouville vector field \Gamma and we give a triplet of basic connections adapted to this subfoliation.
Equivariant Structure Constants For Hamiltonian-T-Spaces, Ho Hon Leung
Equivariant Structure Constants For Hamiltonian-T-Spaces, Ho Hon Leung
Turkish Journal of Mathematics
If there exists a set of canonical classes on a compact Hamiltonian-T-space in the sense of R Goldin and S Tolman, we derive some formulas for certain equivariant structure constants in terms of other equivariant structure constants and the values of canonical classes restricted to some fixed points. These formulas can be regarded as a generalization of Tymoczko's results.
Characteristic Classes On Grassmannians, Jin Shi, Jianwei Zhou
Characteristic Classes On Grassmannians, Jin Shi, Jianwei Zhou
Turkish Journal of Mathematics
In this paper, we study the geometry and topology on the oriented Grassmann manifolds. In particular, we use characteristic classes and the Poincaré duality to study the homology groups of Grassmann manifolds. We show that for k=2 or n \leq 8, the cohomology groups H^*(G(k,n), R) are generated by the first Pontrjagin class, the Euler classes of the canonical vector bundles. In these cases, the Poincaré duality: H^q(G(k,n), R) \to H_{k(n-k)-q}(G(k,n), R) can be expressed explicitly.
Moment Equalities For Sums Of Random Variables Via Integer Partitions And Faà Di Bruno's Formula, Dietmar Ferger
Moment Equalities For Sums Of Random Variables Via Integer Partitions And Faà Di Bruno's Formula, Dietmar Ferger
Turkish Journal of Mathematics
We give moment equalities for sums of independent and identically distributed random variables including, in particular, centered and specifically symmetric summands. Two different types of proofs, combinatorial and analytical, lead to 2 different types of formulas. Furthermore, the combinatorial method allows us to find the optimal lower and upper constants in the Marcinkiewicz--Zygmund inequalities in the case of even moment-orders. Our results are applied to give elementary proofs of the classical central limit theorem (CLT) and of the CLT for the empirical bootstrap. Moreover, we derive moment and exponential inequalities for self-normalized sums.
Central Configurations In The Collinear 5-Body Problem, Muhammad Shoaib, Anoop Sivasankaran, Abdulrehman Kashif
Central Configurations In The Collinear 5-Body Problem, Muhammad Shoaib, Anoop Sivasankaran, Abdulrehman Kashif
Turkish Journal of Mathematics
We study the inverse problem of central configuration of collinear general 4- and 5-body problems. A central configuration for n-body problems is formed if the position vector of each particle with respect to the center of mass is a common scalar multiple of its acceleration. In the 3-body problem, it is always possible to find 3 positive masses for any given 3 collinear positions given that they are central. This is not possible for more than 4-body problems in general. We consider a collinear 5-body problem and identify regions in the phase space where it is possible to choose positive …
Coloring Hypercomplete And Hyperpath Graphs, Yusuf Ci̇van, Demet Taylan
Coloring Hypercomplete And Hyperpath Graphs, Yusuf Ci̇van, Demet Taylan
Turkish Journal of Mathematics
Given a graph G with an induced subgraph H and a family F of graphs, we introduce a (hyper)graph H_H(G;F)=(V_H, E_H), the hyper-H (hyper)graph of G with respect to F, whose vertices are induced copies of H in G, and \{H_1,H_2,\ldots,H_r\} \in E_H if and only if the induced subgraph of G by the set \cup_{i=1}^r H_i is isomorphic to a graph F in the family F, and the integer r is the least integer for F with this property. When H is a k-complete or a k-path of G, we abbreviate H_{K_k}(G;F) and H_{P_k}(G;F) to H_k(G;F) and HP_k(G;F), respectively. …
Euler-Seidel Matrices Over F_P, Nesri̇n Tutaş
Euler-Seidel Matrices Over F_P, Nesri̇n Tutaş
Turkish Journal of Mathematics
A Euler--Seidel matrix is determined by an infinite sequence whose elements are given by recursion. The recurrence relations are investigated for numbers and polynomials such as hyperharmonics, Lucas numbers, and Euler and Genocchi polynomials. Linear recurring sequences in finite fields are employed, for instance, in coding theory and in several branches of electrical engineering. In this work, we define the period of a Euler--Seidel matrix over a field F_p with p elements, where p is a prime number. We give some results for the matrix whose initial sequence is \{s_r(n)\}_{n=0}^{\infty}, where s_r(n)=\sum_{k=0}^n {\binom{n}{k}}^r, n \geq 0, and r is a …
On Betti Series Of The Universal Modules Of Second Order Derivations Of \Frac{K[X_1,X_2,...,X_S]}{(F)}, Ali̇ Erdoğan, Hali̇se Meli̇s Teki̇n Akçi̇n
On Betti Series Of The Universal Modules Of Second Order Derivations Of \Frac{K[X_1,X_2,...,X_S]}{(F)}, Ali̇ Erdoğan, Hali̇se Meli̇s Teki̇n Akçi̇n
Turkish Journal of Mathematics
Let R be a coordinate ring of an affine irreducible curve represented by \frac{k[x_1,x_2,...,x_s]}{(f)} and m be a maximal ideal of R. In this article, the Betti series of \Omega_2(R_m) is studied. We proved that the Betti series of \Omega_2(R_m), where \Omega_2(R_m) denotes the universal module of second order derivations of R_m, is a rational function under some conditions.
Some Results On T-Noncosingular Modules, Rachid Tribak
Some Results On T-Noncosingular Modules, Rachid Tribak
Turkish Journal of Mathematics
The notion of T-noncosingularity of a module has been introduced and studied recently. In this article, a number of new results of this property are provided. It is shown that over a commutative semilocal ring R such that Jac(R) is a nil ideal, every T-noncosingular module is semisimple. We prove that for a perfect ring R, the class of T-noncosingular modules is closed under direct sums if and only if R is a primary decomposable ring. Finitely generated T-noncosingular modules over commutative rings are shown to be precisely those having zero Jacobson radical. We also show that for a simple …
A Class Of Uniquely (Strongly) Clean Rings, Orhan Gürgün, Ayşe Çi̇ğdem Özcan
A Class Of Uniquely (Strongly) Clean Rings, Orhan Gürgün, Ayşe Çi̇ğdem Özcan
Turkish Journal of Mathematics
In this paper we call a ring R \delta_r-clean if every element is the sum of an idempotent and an element in \delta(R_R) where \delta(R_R) is the intersection of all essential maximal right ideals of R. If this representation is unique (and the elements commute) for every element we call the ring uniquely (strongly) \delta_r-clean. Various basic characterizations and properties of these rings are proved, and many extensions are investigated and many examples are given. In particular, we see that the class of \delta_r-clean rings lies between the class of uniquely clean rings and the class of exchange rings, and …
On The Structure Of Some Modules Over Generalized Soluble Groups, Leonid Andreevich Kurdachenko, Igor Yakov Subbotin, Vasiliy Anatolievich Chupordya
On The Structure Of Some Modules Over Generalized Soluble Groups, Leonid Andreevich Kurdachenko, Igor Yakov Subbotin, Vasiliy Anatolievich Chupordya
Turkish Journal of Mathematics
Let R be a ring and G a group. An R-module A is said to be Artinian-by-(finite rank) if Tor_R(A) is Artinian and A/ Tor_R(A) has finite R-rank. We study a module A over a group ring RG such that A/C_A(H) is Artinian-by-(finite rank) (as an R-module) for every proper subgroup H.
On 2 Nonsplit Extension Groups Associated With Hs And Hs:2, Jamshid Moori, Thekiso Seretlo
On 2 Nonsplit Extension Groups Associated With Hs And Hs:2, Jamshid Moori, Thekiso Seretlo
Turkish Journal of Mathematics
The group HS:2 is the full automorphism group of the Higman--Sims group HS. The groups 2^{4.}S_6 and 2^{5.}S_6 are maximal subgroups of HS and HS:2, respectively. The group 2^{4.}S_6 is of order 11520 and 2^{5.}S_6 is of order 23040 and each of them is of index 3 850 in HS and HS:2, respectively. The aim of this paper is to first construct \overline{G} = 2^{5.}S_6 as a group of the form 2^{4.}S_6.2 (that is, \overline{G} = G_1.2) and then compute the character tables of these 2 nonsplit extension groups by using the method of Fischer--Clifford theory. We will show that …
On Direct Products Of S-Posets Satisfying Flatness Properties, Roghaieh Khosravi
On Direct Products Of S-Posets Satisfying Flatness Properties, Roghaieh Khosravi
Turkish Journal of Mathematics
In this paper we characterize pomonoids over which various flatness properties of S-posets are preserved under direct products.
Global Existence, Uniform Decay, And Exponential Growth Of Solutions For A System Of Viscoelastic Petrovsky Equations, Faramarz Tahamtani, Amir Peyravi
Global Existence, Uniform Decay, And Exponential Growth Of Solutions For A System Of Viscoelastic Petrovsky Equations, Faramarz Tahamtani, Amir Peyravi
Turkish Journal of Mathematics
In this paper, we study the initial-boundary value problem for a system of nonlinear viscoelastic Petrovsky equations. Introducing suitable perturbed energy functionals and using the potential well method we prove uniform decay of solution energy under some restrictions on the initial data and the relaxation functions. Moreover, we establish a growth result for certain solutions with positive initial energy.
Scattering Data In An Inverse Scattering Problem On The Semi-Axis For A First-Order Hyperbolic System, Mansur Ismailov, İbrahi̇m Teki̇n
Scattering Data In An Inverse Scattering Problem On The Semi-Axis For A First-Order Hyperbolic System, Mansur Ismailov, İbrahi̇m Teki̇n
Turkish Journal of Mathematics
The inverse scattering problem for the first-order hyperbolic system on the semi-axis in the case of 2 incident and 2 scattered waves under consideration of 2 problems with the same given incident waves and different boundary conditions is considered. The scattering data on the semi-axis are given in terms of the scattering operator on the whole axis for the same system with the coefficients, which are extended in the whole axis by zero.
On Kakutani--Krein And Maeda--Ogasawara Spaces, Zafer Ercan, Neşet Özkan Tan
On Kakutani--Krein And Maeda--Ogasawara Spaces, Zafer Ercan, Neşet Özkan Tan
Turkish Journal of Mathematics
Let E be an Archimedean Riesz space. It is shown that the Kakutani--Krein space of the center of the Dedekind completion of E and the Maeda--Ogasawara space of E are homeomorphic. By applying this, we can reprove a Banach Stone type theorem for C^{\infty}(S) spaces, where S is a Stonean space.
Kernel Operators On The Upper Half-Space: Boundedness And Compactness Criteria, Usman Ashraf, Muhammad Asif, Alexander Meskhi
Kernel Operators On The Upper Half-Space: Boundedness And Compactness Criteria, Usman Ashraf, Muhammad Asif, Alexander Meskhi
Turkish Journal of Mathematics
We establish necessary and sufficient conditions on a weight v governing the trace inequality \hat{K}f _{L^q_v(\hat{E})} \leq C f _{L^p(E)}, where E is a cone on a homogeneous group, \hat{E}: = E \times R_+ and \hat{K} is a positive kernel operator defined on \hat{E}. Compactness criteria for this operator are also established.
A Characterization Of Certain Geodesic Hyperspheres In Complex Projective Space, Juan De Dios Perez, Y Oung Jin Suh
A Characterization Of Certain Geodesic Hyperspheres In Complex Projective Space, Juan De Dios Perez, Y Oung Jin Suh
Turkish Journal of Mathematics
We characterize geodesic hyperspheres of radius r such that cot^2(r)=\frac{1}{2} as the unique real hypersurfaces in complex projective space whose structure Jacobi operator satisfies a pair of conditions.
On Finsler Metrics With Vanishing S-Curvature, Akbar Tayebi, Hassan Sadeghi, Esmaeil Peyghan
On Finsler Metrics With Vanishing S-Curvature, Akbar Tayebi, Hassan Sadeghi, Esmaeil Peyghan
Turkish Journal of Mathematics
In this paper, we consider Finsler metrics defined by a Riemannian metric and a 1-form on a manifold. We study these metrics with vanishing S-curvature. We find some conditions under which such a Finsler metric is Berwaldian or locally Minkowskian.
Conformally Parallel Spin(7) Structures On Solvmanifolds, Selman Uğuz
Conformally Parallel Spin(7) Structures On Solvmanifolds, Selman Uğuz
Turkish Journal of Mathematics
In this paper we review the Spin(7) geometry in relation to solvmanifolds. Starting from a 7-dimensional nilpotent Lie group N endowed with an invariant G_2 structure, we present an example of a homogeneous conformally parallel Spin(7) metric on an associated solvmanifold. It is thought that this paper could lead to very interesting and exciting areas of research and new results in the direction of (locally conformally) parallel Spin(7) structures.
Geometry Of Almost Cliffordian Manifolds: Classes Of Subordinated Connections, Jaroslav Hrdina, Petr Vasik
Geometry Of Almost Cliffordian Manifolds: Classes Of Subordinated Connections, Jaroslav Hrdina, Petr Vasik
Turkish Journal of Mathematics
An almost Clifford and an almost Cliffordian manifold is a G--structure based on the definition of Clifford algebras. An almost Clifford manifold based on O:= Cl (s,t) is given by a reduction of the structure group GL(km, R) to GL(m, O), where k=2^{s+t} and m \in N. An almost Cliffordian manifold is given by a reduction of the structure group to GL(m, O) GL(1, O). We prove that an almost Clifford manifold based on O is such that there exists a unique subordinated connection, while the case of an almost Cliffordian manifold based on O is more rich. A class …
Early Pleistocene Freshwater Communities And Rodents From The Pasinler Basin (Erzurum Province, North-Eastern Turkey), Davit Vasilyan, Simon Schneider, Memet Sali̇h Bayraktutan, Şevket Şen
Early Pleistocene Freshwater Communities And Rodents From The Pasinler Basin (Erzurum Province, North-Eastern Turkey), Davit Vasilyan, Simon Schneider, Memet Sali̇h Bayraktutan, Şevket Şen
Turkish Journal of Earth Sciences
An Early Pleistocene lacustrine faunal assemblage from Pasinler (Erzurum Province, north-eastern Turkey) is described, which encompasses 13 mollusc, 5 fish, 2 amphibian, 1 reptile, and 1 mammal species. The autochthonous freshwater mollusc fauna indicates shallow stagnant waters and a fine-sandy to muddy lake bottom, grown with submersed plants. The fish community (Leuciscus sp., Rutilus sp., Chondrostoma sp., Leuciscinae sp. 1 and 2, and Capoeta sp.) and autochthonous herpetofauna (Latonia sp. and Natrix sp.) provide evidence of a well-oxygenised palaeolake with rich periphyton and partially rocky to gravelly bottom. Moreover, the presence of the terrestrial snail Caspicyclotus cf. akramowsii, the peri- …
On The Reconstruction Of Plant Photosynthetic And Stress Physiology Across The Triassic-Jurassic Boundary, Matthew Haworth, Angela Gallagher, Elysia Sum, Marlene Hill-Donnelly, Margret Steinthorsdottir, Jennifer Mcelwain
On The Reconstruction Of Plant Photosynthetic And Stress Physiology Across The Triassic-Jurassic Boundary, Matthew Haworth, Angela Gallagher, Elysia Sum, Marlene Hill-Donnelly, Margret Steinthorsdottir, Jennifer Mcelwain
Turkish Journal of Earth Sciences
The Triassic-Jurassic boundary (TJB) coincides with major disruption to the carbon cycle and global warming as the Central Atlantic Magmatic Province developed. This resulted in both marine and terrestrial extinctions, with terrestrial plants thought to experience thermal stress as global temperatures and atmospheric CO_2 levels rose. As plant compression fossils typically only preserve external morphological features, it has not been possible to reconstruct plant paleophysiology in order to elucidate the mechanisms underlying plant stress and extinction. Here we present a new approach allowing us to infer the photosynthetic performance and stress physiology of fossil plants, applied to fossil Ginkgoales across …
Ree Geochemical Characteristics Of Titanium-Rich Bauxites: The Permian Kanigorgeh Horizon, Nw Iran, Ali Abedini, Ali Asghar Calagari
Ree Geochemical Characteristics Of Titanium-Rich Bauxites: The Permian Kanigorgeh Horizon, Nw Iran, Ali Abedini, Ali Asghar Calagari
Turkish Journal of Earth Sciences
The Permian Kanigorgeh bauxite horizon is one of the typical titanium-rich bauxite deposits in the northeast of Bukan, West Azerbaijan Province, NW Iran. It is a part of the Irano-Himalayan karst bauxite belt and was developed as discontinuous stratified layers and lenses in Upper Permian carbonates. Mineralogically, diaspore and kaolinite are 2 major mineral phases accompanied by boehmite, smectite, illite, rutile, anatase, hematite, goethite, chlorite, quartz, and plagioclase as minor phases. Geochemical considerations for a selected profile indicate that the concentration values of rare earth elements (REEs) in the bauxite ores range from 8.9 to 200.4 ppm. Eu and Ce …