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Articles 1711 - 1740 of 2607
Full-Text Articles in Mathematics
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.
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.
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 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.
Gonality Of Curves With A Singular Model On An Elliptic Quadric Surface, Edoardo Ballico
Gonality Of Curves With A Singular Model On An Elliptic Quadric Surface, Edoardo Ballico
Turkish Journal of Mathematics
Let W \subset P^3 be a smooth quadric surface defined over a perfect field K and with no line defined over K (e.g., an elliptic quadric surface over a finite field). In this note we study the gonality over K of smooth curves with a singular model contained in W and with mild singularities.
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.
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 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 …
Two-Weighted Norm Inequality On Weighted Morrey Spaces, Xiaofeng Ye, Tengfei Wang
Two-Weighted Norm Inequality On Weighted Morrey Spaces, Xiaofeng Ye, Tengfei Wang
Turkish Journal of Mathematics
Let u and \omega be weight functions. We shall introduce the weighted Morrey spaces L^{p,\kappa} (\omega) and investigate the sufficient condition and necessary condition about the 2-weighted boundedness of the Hardy--Littlewood maximal operator.
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.
Norden Structures Of Hessian Type, Arif Salimov, Aydin Gezer
Norden Structures Of Hessian Type, Arif Salimov, Aydin Gezer
Turkish Journal of Mathematics
In this paper, we show that Kähler (para-Kähler) manifolds admit a Norden--Hessian metric h = \nabla^2f if the function f is holomorphic (para-holomorphic), and we further consider the existence condition of para-Kähler structures for Norden--Hessian metrics.
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.
Monomial Ideals Of Linear Type, Monica La Barbiera, Paola Lea Stagliano'
Monomial Ideals Of Linear Type, Monica La Barbiera, Paola Lea Stagliano'
Turkish Journal of Mathematics
Let S=K[x_1,…,x_n;y_1,…,y_m] be the polynomial ring in 2 sets of variables over a field K. We investigate some classes of monomial ideals of S in order to classify ideals of the linear type.
Some Notes On Nil-Semicommutative Rings, Yinchun Qu, Junchao Wei
Some Notes On Nil-Semicommutative Rings, Yinchun Qu, Junchao Wei
Turkish Journal of Mathematics
A ring R is defined to be nil-semicommutative if ab \in N(R) implies arb \in N(R) for a, b, r \in R, where N(R) stands for the set of nilpotents of R. Nil-semicommutative rings are generalization of NI rings. It is proved that (1) R is strongly regular if and only if R is von Neumann regular and nil-semicommutative; (2) Exchange nil-semicommutative rings are clean and have stable range 1; (3) If R is a nil-semicommutative right MC2 ring whose simple singular right modules are YJ-injective, then R is a reduced weakly regular ring; (4) Let R be a nil-semicommutative …
Generalized Derivations Centralizing On Jordan Ideals Of Rings With Involution, Lahcen Oukhtite, Abdellah Mamouni
Generalized Derivations Centralizing On Jordan Ideals Of Rings With Involution, Lahcen Oukhtite, Abdellah Mamouni
Turkish Journal of Mathematics
A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative. In this paper we extend Posner's result to generalized derivations centralizing on Jordan ideals of rings with involution and discuss the related results. Moreover, we provide examples to show that the assumed restriction cannot be relaxed.
Generalized Derivations On Jordan Ideals In Prime Rings, Mahmoud El-Soufi, Ahmed Aboubakr
Generalized Derivations On Jordan Ideals In Prime Rings, Mahmoud El-Soufi, Ahmed Aboubakr
Turkish Journal of Mathematics
Let R be a 2-torsion free prime ring with center Z(R), J be a nonzero Jordan ideal also a subring of R, and F be a generalized derivation with associated derivation d. In the present paper, we shall show that J\subseteq Z(R) if any one of the following properties holds: (i) [F(u), u]\in Z(R), (ii) F(u)u = ud(u), (iii) d(u^2)=2F(u)u, (iv) F(u^2)-2uF(u) = d(u^2)-2ud(u), (v) F^2(u)+3d^2(u)=2Fd(u)+2dF(u), (vi) F(u^2) = 2uF(u) for all u \in J.
On Nr^*-Subgroups Of Finite Groups, Xianggui Zhong
On Nr^*-Subgroups Of Finite Groups, Xianggui Zhong
Turkish Journal of Mathematics
Let G be a finite group and let H be a subgroup of G. H is said to be an NR^*-subgroup of G if there exists a normal subgroup T of G such that G = HT and if whenever K \lhd H and g \in G, then K^g \cap H \cap T\leq K. A number of new characterizations of a group G are given, under the assumption that all Sylow subgroups of certain subgroups of G are NR^*-subgroups.
Hölder Regularity For Weak Solutions Of Diagonal Divergence Quasilinear Degenerate Elliptic Systems, Yan Dong, Xuewei Cui
Hölder Regularity For Weak Solutions Of Diagonal Divergence Quasilinear Degenerate Elliptic Systems, Yan Dong, Xuewei Cui
Turkish Journal of Mathematics
In this paper, we establish Hölder regularity for weak solutions of a class of diagonal divergence quasilinear degenerate elliptic systems of Hörmander's vector fields when the coefficients belong to the class of VMO_X functions with respect to x and uniformly with respect to u, and the lower order terms satisfy a natural growth condition.
Asymptotic Analysis Of The 2-Dimensional Soliton Solutions For The Nizhnik--Veselov--Novikov Equations, Meti̇n Ünal
Asymptotic Analysis Of The 2-Dimensional Soliton Solutions For The Nizhnik--Veselov--Novikov Equations, Meti̇n Ünal
Turkish Journal of Mathematics
In this paper we present a direct approach to determining a class of solutions, the asymptotic analysis of the dromion solutions, and their asymptotic properties of the Nizhnik--Veselov--Novikov equations by means of Pfaffians. The form of the solution obtained allows a detailed asymptotic analysis of the dromion solutions and compact expression for the phase shifts and changes of amplitude as a result of interaction of the dromions to be determined.
Existence And Multiplicity Of Positive Solutions For Discrete Anisotropic Equations, Marek Galewski, Renata Wieteska
Existence And Multiplicity Of Positive Solutions For Discrete Anisotropic Equations, Marek Galewski, Renata Wieteska
Turkish Journal of Mathematics
In this paper we consider the Dirichlet problem for a discrete anisotropic equation with some function \alpha , a nonlinear term f, and a numerical parameter \lambda :\Delta (\alpha (k) \Delta u(k-1) ^{p(k-1)-2}\Delta u(k-1)) + \lambda f(k,u(k))=0, k\in [1,T] . We derive the intervals of a numerical parameter \lambda for which the considered BVP has at least 1, exactly 1, or at least 2 positive solutions. Some useful discrete inequalities are also derived.
A Reproducing Kernel For A Hilbert Space Related To Harmonic Bergman Space On A Domain Outside Compact Set, Alem Memic
A Reproducing Kernel For A Hilbert Space Related To Harmonic Bergman Space On A Domain Outside Compact Set, Alem Memic
Turkish Journal of Mathematics
In this paper for 1\leq p
Pullback Diagram Of H^*-Algebras, Mahnaz Khanehgir, Maryam Amyari, Marzieh Moradian Khibary
Pullback Diagram Of H^*-Algebras, Mahnaz Khanehgir, Maryam Amyari, Marzieh Moradian Khibary
Turkish Journal of Mathematics
In this paper we obtain some properties for the pullback diagram of H^*-algebras. More precisely, we prove that the commutative diagram of H^*-algebras and morphisms A_1 @>\varphi_1>> B_1 @VV\psi_1V @VV\psi_2V A_2 @>\varphi_2>> B_2 is pullback and \psi_1 is an injection if and only if \psi_1 is a surjection, \psi_2 is an injection, and \ker \varphi_1 \cap \ker \psi_1 = \{0\}.
Semi-Cotangent Bundle And Problems Of Lifts, Furkan Yildirim, Arif Salimov
Semi-Cotangent Bundle And Problems Of Lifts, Furkan Yildirim, Arif Salimov
Turkish Journal of Mathematics
Using the fiber bundle M over a manifold B, we define a semi-cotangent (pull-back) bundle t^{\ast}B, which has a degenerate symplectic structure. We consider lifting problem of projectable geometric objects on M to the semi-cotangent bundle. Relations between lifted objects and a degenerate symplectic structure are also presented.
On Generalized Robertson--Walker Spacetimes Satisfying Some Curvature Condition, Kadri̇ Arslan, Ryszard Deszcz, Ridvan Ezentaş, Marian Hotlos, Cengi̇zhan Murathan
On Generalized Robertson--Walker Spacetimes Satisfying Some Curvature Condition, Kadri̇ Arslan, Ryszard Deszcz, Ridvan Ezentaş, Marian Hotlos, Cengi̇zhan Murathan
Turkish Journal of Mathematics
We give necessary and sufficient conditions for warped product manifolds (M,g), of dimension \geqslant 4, with 1-dimensional base, and in particular, for generalized Robertson--Walker spacetimes, to satisfy some generalized Einstein metric condition. Namely, the difference tensor R . C - C . R, formed from the curvature tensor R and the Weyl conformal curvature tensor C, is expressed by the Tachibana tensor Q(S,R) formed from the Ricci tensor S and R. We also construct suitable examples of such manifolds. They are quasi-Einstein, i.e. at every point of M rank (S - \alpha g) \leqslant 1, for some \alpha \in R, …
Regular Poles For The P-Adic Group Gsp_4, Yusuf Danişman
Regular Poles For The P-Adic Group Gsp_4, Yusuf Danişman
Turkish Journal of Mathematics
We compute the regular poles of the L-factors of the admissible and irreducible representations of the group GSp_4, which admit a nonsplit Bessel functional and have a Jacquet module length of at most 2 with respect to the unipotent radical of the Siegel parabolic, over a non-Archimedean local field of odd characteristic. We also compute the L-factors of the generic representations of GSp_4.
On Density Theorems For Rings Of Krull Type With Zero Divisors, Başak Ay Saylam
On Density Theorems For Rings Of Krull Type With Zero Divisors, Başak Ay Saylam
Turkish Journal of Mathematics
Let R be a commutative ring and I(R) denote the multiplicative group of all invertible fractional ideals of R, ordered by A \leqslant B if and only if B \subseteq A. If R is a Marot ring of Krull type, then R_{(P_i)}, where {P_i}_{i \in I} are a collection of prime regular ideals of R, is a valuation ring and R = \bigcap R_{(P_i)}. We denote by G_i the value group of the valuation associated with R_{(P_i)}. We prove that there is an order homomorphism from I(R) into the cardinal direct sum \coprod_{i \in I} G_i and we investigate the …
Some Rings For Which The Cosingular Submodule Of Every Module Is A Direct Summand, Derya Keski̇n Tütüncü, Ni̇l Orhan Ertaş, Patrick F. Smith, Rachid Tribak
Some Rings For Which The Cosingular Submodule Of Every Module Is A Direct Summand, Derya Keski̇n Tütüncü, Ni̇l Orhan Ertaş, Patrick F. Smith, Rachid Tribak
Turkish Journal of Mathematics
The submodule \overline{Z}(M) = \cap {N M/N is small in its injective hull} was introduced by Talebi and Vanaja in 2002. A ring R is said to have property (P) if \overline{Z}(M) is a direct summand of M for every R-module M. It is shown that a commutative perfect ring R has (P) if and only if R is semisimple. An example is given to show that this characterization is not true for noncommutative rings. We prove that if R is a commutative ring such that the class {M \in Mod-R \overline{Z}_{R}(M) = 0} is closed under factor modules, then …
On Kapranov's Description Of \Overline{M}_{0,N} As A Chow Quotient, Noah Giansiracusa, William Danny Gillam
On Kapranov's Description Of \Overline{M}_{0,N} As A Chow Quotient, Noah Giansiracusa, William Danny Gillam
Turkish Journal of Mathematics
We provide a direct proof, valid in arbitrary characteristic, of the result originally proven by Kapranov over C that the Hilbert quotient (P^1)^n//_HPGL_2 and Chow quotient (P^1)^n//_{Ch}PGL_2 are isomorphic to \overline{M}_{0,n}. In both cases this is done by explicitly constructing the universal family of orbit closures and then showing that the induced morphism is an isomorphism onto its image. The proofs of these results in many ways reduce to the case n = 4; in an appendix we outline a formalism of this phenomenon relating to certain operads.