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Immersions Preserved Under Rotations With Totally Reducible Focal Set, Rıdvan Ezentaş
Immersions Preserved Under Rotations With Totally Reducible Focal Set, Rıdvan Ezentaş
Turkish Journal of Mathematics
In [1] Carter and the author introduced the idea of an immersion f : Mm-+ Rn with totally reducible focal set (TRFS). Such an immersion has the property that, for all p E M, the focal set with base p is a union of hyperplanes in the normal plane to f(M) at f(p) . Here we show that if we take two immersions with TRFS then we can construct new immersions with TRFS. In particular, rotating an immersion with TRFS about an axis gives anew immersion with TRFS.
Quotients Of Real Algebraic Sets Via Finite Groups, Yıldıray Ozan
Quotients Of Real Algebraic Sets Via Finite Groups, Yıldıray Ozan
Turkish Journal of Mathematics
In this paper, we will study finite algebraic group actions on real algebraic sets and compare the topological quotient X/G with the algebraic quotient X/ /G. We will give a different and shorter proof of a result of Procesi and Schwarz, stating that if the order of the group G, acting algebraically on a real algebraic set X, is odd then X/G is equal to X/ /G. In the case of even order groups, we will a give sufficient condition ( and a necessary condition in the case G = Z_2 ) for the X / G to be equal …
Weight Equations For Binary Linear Codes And Their Applications, Ersan Akyildiz, İsmai̇l Ş. Güloğlu, Masatoshi Ikeda
Weight Equations For Binary Linear Codes And Their Applications, Ersan Akyildiz, İsmai̇l Ş. Güloğlu, Masatoshi Ikeda
Turkish Journal of Mathematics
Some combinatorial problems concerning binary vector spaces are solved by applying the techniques developed in [1]. These illustrate that they are effective tools for such purposes.
On Univalent Functions With Three Preassigend Values, Y. Avci, E. Zlotkiewicz
On Univalent Functions With Three Preassigend Values, Y. Avci, E. Zlotkiewicz
Turkish Journal of Mathematics
In this paper, univalent functions with three preassigend values are studied. The sharp bounds for the first coefficient are obtained. Moreover, the coefficient problem for a subclass of such functions is completely solved.
On Ideals Of Prime Rings With (\Sigma, \Tau)- Derivations, Q. Deng, M. Ş. Yeni̇gül, N. Argaç
On Ideals Of Prime Rings With (\Sigma, \Tau)- Derivations, Q. Deng, M. Ş. Yeni̇gül, N. Argaç
Turkish Journal of Mathematics
Let R be a prime ring. Let \sigma , \tau be two homomorphisms and d be a (\sigma,\tau)-derivation of R. The purpose of this paper is to prove two results: (i) If char R \neq 2, U is a non-zero ideal of R, \sigma is subjective such that \sigma (U) \neq 0, \tau is an automorphism and [d(U), d(U)]_{\sigma,\tau} = 0, then \sigma^2 = \tau^2 and \sigma \tau = \tau \sigma. (ii) Under the assumptions that either char R = 0 or char R > max {2,n}, U is a non-zero right ideal, and \sigma, \tau are automorphisms of R, suppose …
On High Order Riesz Transformations Generated By Generalized Shift Operator, İsmai̇l Eki̇nci̇oğlu, İ. Kaya Özkin
On High Order Riesz Transformations Generated By Generalized Shift Operator, İsmai̇l Eki̇nci̇oğlu, İ. Kaya Özkin
Turkish Journal of Mathematics
In this paper, we determine high order Riesz transformations by using generalized shift operators and giving some of their properties.
Some New Sequence Spaces Defined By A Sequence Of Moduli, Ayhan Esi̇
Some New Sequence Spaces Defined By A Sequence Of Moduli, Ayhan Esi̇
Turkish Journal of Mathematics
In this paper we introduce and exaamine some properties of three sequence spaces defined by using a sequence of moduli.
The Paper On The Matrix Valued Time Series, M. Tuncay Gençoğlu
The Paper On The Matrix Valued Time Series, M. Tuncay Gençoğlu
Turkish Journal of Mathematics
In this paper, random series oscillatory were examine in matrix valued time series. This series' calculated correlation coefficient between elements. Positive serial correlation coefficient between terms examined relation.
A Note On Finite Hyperbolic Planes Obtained From Projektive Planes, Ş. Olgun, İ. Özgür, İ. Günaltili
A Note On Finite Hyperbolic Planes Obtained From Projektive Planes, Ş. Olgun, İ. Özgür, İ. Günaltili
Turkish Journal of Mathematics
Let \Pi be a finite projective plane of order n and \cal be a set, \cal = m, of any lines of \Pi which contains three non-concurrent lines. Consider the hyperbolic plane \Pi_m obtained from \Pi by removing all lines (including all points on them) of \cal. In this paper, we obtain larger values than the known maximum value of m and determine the linne classes of some hyperbolic planes of type \Pi_m. Furthermore we give an answer to a question in Bumcrot [1] about hyperbolic planes containing two-point liens.
Exotic Structures And Adjunction Inequality, Selman Akbulut, Rostislav Matveyev
Exotic Structures And Adjunction Inequality, Selman Akbulut, Rostislav Matveyev
Turkish Journal of Mathematics
No abstract provided.
On Some Bounds For The Solutions Of The Semi-Discretized Time-Dependent Ginzburg-Landau Equations, Erhan Coşkun
On Some Bounds For The Solutions Of The Semi-Discretized Time-Dependent Ginzburg-Landau Equations, Erhan Coşkun
Turkish Journal of Mathematics
We study the two-dimensional system of Time-Dependent Ginzburg-Landau Equations (TDGL) for modeling a thin film of superconductor subject to a uniform magnetic field. We discretize the TDGL for the space variables using bond variables and staggered grid partitioning technique. By investigating the temporal evolution of semi-discrete Helmholtz enery functional and that of Semi-discretized TDGL, we provide bounds for some observable physical quantities of interest such as superelectron density, supercurrent density, charge density, electric field, and induced magnetic field.
Kirby Calculus In Manifolds With Boundary, Justin Roberts
Kirby Calculus In Manifolds With Boundary, Justin Roberts
Turkish Journal of Mathematics
Suppose there are two framed links in a compact, connected 3-manifold (possibly with boundary, or non-orientable) such that the associated 3-manifolds obtained by surgery are homeomorphic (relative to their common boundary, if there is one.) How are the links related? Kirby's theorem gives the answer when the manifold is S^3, and Fenn and Rourke extended it to the case of any closed orientable 3-manifold, or S^1 \tilde{\times} S^2. The purpose of this note is to give the answer in the general case, using only minor modifications of Kirby's original proof.
The Hardy -Littlewood-Sobolev Inequality For Non-Isotropic Riesz Potentials, İnan Çinar
The Hardy -Littlewood-Sobolev Inequality For Non-Isotropic Riesz Potentials, İnan Çinar
Turkish Journal of Mathematics
In this study the inequality of Hardy-Littlewood-Sobolev type are established for non-isotropic generalized Riesz potential depending on \lambda -distance. In this paper we establish analogues of the well known Hardy-Littlewood-Sobolev inequality (see[3]) for Riesz potentials with non-isotropic kernel depended on \lambda distance. Note that different problems for convolution type integrals with kernels, depending on \lambda-distance were considered in [1] and [2].
Pin-Structures On Surfaces And Quadratic Forms, A. Degtyarev, S. Finashin
Pin-Structures On Surfaces And Quadratic Forms, A. Degtyarev, S. Finashin
Turkish Journal of Mathematics
A correspondence between various Pin-type structures on a compact surface and quadratic (Iinear) forms on its homology is constructed. Sum of structures is defined and expressed in terms of these quadratic forms and in terms of Whitney sum of Spin structures.
Locally Finite Barely Transitive Permutation Group With Almost Nilpotent Point Stabilizers, Mahmut Kuzucuoğlu
Locally Finite Barely Transitive Permutation Group With Almost Nilpotent Point Stabilizers, Mahmut Kuzucuoğlu
Turkish Journal of Mathematics
We show that the groups mentioned in the title are solvable. Moreover, a point stabilizer H of the locally finite barely transitive group G is almost nilpotent, whenever the indices H : H \cap H^g (g \in G) have a finite upper bound.
About Some Normal Subgroups Of Hecke Groups, İsmail Naci Cangül
About Some Normal Subgroups Of Hecke Groups, İsmail Naci Cangül
Turkish Journal of Mathematics
In this work we study the suucture of some special normal subgroups of Hecke groups. Particwarly those of genus O and 1 are studied by means of the regwar map theory which has been a growing subject in recent years. As a nice application, we calcwate the total number of genus 1 normal subgroups for a given index.
Nv-P-Groups With Nilpotent Centralizers, Ali Osman Asar, Aynur Yalincaklioğlu
Nv-P-Groups With Nilpotent Centralizers, Ali Osman Asar, Aynur Yalincaklioğlu
Turkish Journal of Mathematics
In this work a sufficient condition is given for an NC-p-group to have an epimorphic image which is an NF-p-group.
An Application Of Monodromy Groupoid, Osman Mucuk
An Application Of Monodromy Groupoid, Osman Mucuk
Turkish Journal of Mathematics
The monodromy groupoid was first inlioduced by Pradines in [7] and developed by Mucuk in [6] In this paper we give an application of the monodromy groupoid.
Locally Topological Groupoids, Osman Mucuk
Locally Topological Groupoids, Osman Mucuk
Turkish Journal of Mathematics
The notion of Iocally topological groupoid was introduced by Aof and Brown in [2]. On the other hand in [6] by Mackenzie a topological groupoid MG, called monodromy groupoid, is constructed. In this paper we prove that this groupoid MG gives a Iocally topological groupoid.
The Spectra And Fine Spectra For P-Cesáro Operators, Cafer Coşkun
The Spectra And Fine Spectra For P-Cesáro Operators, Cafer Coşkun
Turkish Journal of Mathematics
In [6], Rhaly computed the spectrum of p-Cesaro operator on the Hilbert space l_2 = {x = (x_k): \Sigma_k IX_kl^2 < infinite}. In the present paper, we study the spectrum and fine spectrum for p-Cesáro operators acting on C_o, the space of null sequences.
Painlevé Analysis And Infinite Lie Symmetries Of The Complex Modified Korteweg-De Vries-Ii Equation, Abulgassim Ali Muhammad, Mehmet Can
Painlevé Analysis And Infinite Lie Symmetries Of The Complex Modified Korteweg-De Vries-Ii Equation, Abulgassim Ali Muhammad, Mehmet Can
Turkish Journal of Mathematics
The Painleve analysis developed by Weiss et al. [9] for nonlinear partial differential equations is applied to the CMKdV-II equation. It has been shown that this equation passes the Painleve test. By specializing the arbitrary functions that appear in the phi series expansions found in the test, one obtains a system of partial differential equations for the formally arbitrary data. For specific systems, and conjectured in general, these equations are integrable. The form of the resulting reduction enables the identification of integrable reductions of the original systems. Assuming u_i = \upsilon_i = 0, i >= 2 we obtain conditions to …
Augmented Graded Rings, Mashhoor Refai
Augmented Graded Rings, Mashhoor Refai
Turkish Journal of Mathematics
In this paper we study the augmented graded rings and give the ralationship between these rings and stronger properties of graded rings.
On The Theory Of A Certain Class Of Quadratic Pencils Of Matrices And Its Applications, G.Sh. Guseinov, G. Oturanç
On The Theory Of A Certain Class Of Quadratic Pencils Of Matrices And Its Applications, G.Sh. Guseinov, G. Oturanç
Turkish Journal of Mathematics
This paper is devoted to the study of the properties of eigenvalues and eigenvectors of quadratic pencil \lambda^2C - \lambdaR - J , where C is a positive diagonal matrix, R is an arbitrary real diagonal matrix, J is a ,, tridiagonal" real symmetric and positive matrix. The obtained results are then used to solve the corresponding system of differential equations with boundary and initial conditions. Kev Words: Quadratic pencijs, eigenvalues, eigenvectors.
Near Ultrafilters And Luc-Compactification Of Real Numbers, Mahmut Koçak
Near Ultrafilters And Luc-Compactification Of Real Numbers, Mahmut Koçak
Turkish Journal of Mathematics
In this work we will investigate some of the topological properties of the Luc compactification of real numbers R in terms of the concept of near ultrafilters.
On The Solution Of The E.P.D. Equation Using Finite Integral Transformations, Neşe Dernek
On The Solution Of The E.P.D. Equation Using Finite Integral Transformations, Neşe Dernek
Turkish Journal of Mathematics
In this paper, a solution is given for the following initial boundary value problem: \Delta=u_{tt}+k/t+u_t+g(x, t) (t>0) u(0, t)=u(a, t)=0 u(x, 0)=f(x), u_t(x, 0)=0 where x, a \epsilon R^n, t is the time variable, k < 1, k ? -1, -2, -3, . . . is a real parameter, \Delta is the n dimensional Laplace operator, f and g real analytic functions. The equation in this problem is known as the nonhomogeneous Euler-Poisson-Darboux (E.P.D.) Equation. The solution is obtained using finite integral transformation technique and is the sum of two uniformly and absolutely convergent power series.
Locally Nilpotent P-Groups Whose Proper Subgroups Are Nc-Groups, A.O. Asar, A. Yalincaklioğlu
Locally Nilpotent P-Groups Whose Proper Subgroups Are Nc-Groups, A.O. Asar, A. Yalincaklioğlu
Turkish Journal of Mathematics
Let G be a locally nilpotent p-group in which every proper subgroup is an NC-group. It is shown that G is itself an NC-group if either (i) the normal closure of every finite subgroup of G is a Chernikov extension of a CC-group or (ii) every proper normal subgroup of G is the union of an ascending chain of normal CCsubgroups.
Application Of The Residue Method To A Mixed Problem, Y. A. Mamedov, M. Can
Application Of The Residue Method To A Mixed Problem, Y. A. Mamedov, M. Can
Turkish Journal of Mathematics
In this paper, the residue method of separation of variables is applied to a mixed problem which includes the flow of a stratified compresslble fluid and inner gravitational waves of a stratified incompressible fluid for special values of the coefficients of the equation. To apply this method one defines two auxiliary problems. The first one is a spectral problem and the second is a Cauchy problem. Using the solutions of auxiliary problems, an existence and uniqueness theorem is proved for the given mixed problem.
Products And Quotients Of (P,\Sigma)-Absolutely Continuous Operator Ideals^*, Enrique A. Sanchez Perez
Products And Quotients Of (P,\Sigma)-Absolutely Continuous Operator Ideals^*, Enrique A. Sanchez Perez
Turkish Journal of Mathematics
We obtain a generalization of the ideal {\cal M}_{(q,p)} of (q,p)-mixing operators-in the sense of Pietsch- as a consequence of the study of the quotients of (p, \sigma)-absolutely continuous operator ideals {\cal P}_{p, \sigma} -in the sense of Jarchow and Matter-. Inclusions {\cal P}_{p, \sigma} (E,F) \subset {\cal M}_{(q,s)} (E,F) are also investigated, specially for the cases E={\cal C}(K) and E=L_1.
On Surjectivity Of The Arens Homomorphism, S. Alpay, B. Turan
On Surjectivity Of The Arens Homomorphism, S. Alpay, B. Turan
Turkish Journal of Mathematics
We define approximate separation and extension properties of a Banach lattice and study the relation between these and topological fullness of the ideal centre. Banach lattices with topologically full ideal centre are characterized as those for which the Arens homomorphism m: Z(E)''\rightarrow Z(E') is surjective. Among the positive operators T:E\rightarrow F between Banach lattices E,F we distinguish nearly Z(E) and Z(F) extremal ones and study their properties.