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A Connected Sum Of Knots And Fintushel-Stern Knot Surgery On 4-Manifolds, Manabu Akaho
A Connected Sum Of Knots And Fintushel-Stern Knot Surgery On 4-Manifolds, Manabu Akaho
Turkish Journal of Mathematics
We give some new examples of smooth 4-manifolds which are diffeomorphic although they are obtained by Fintushel-Stern knot surgeries on a smooth 4-manifold with different knots; the first such examples are given by Akbulut [1]. In the proof we essentially use the monodromy of a cusp.
On Cauchy's Bound For Zeros Of A Polynomial, V. K. Jain
On Cauchy's Bound For Zeros Of A Polynomial, V. K. Jain
Turkish Journal of Mathematics
In this note, we improve upon Cauchy's classical bound, and upon some recent bounds for the moduli of the zeros of a polynomial.
On Finitary Permutation Groups, Ali̇ Osman Asar
On Finitary Permutation Groups, Ali̇ Osman Asar
Turkish Journal of Mathematics
In this work we give some sufficient conditions under which the structure of a transitive group of finitary permutations on an infinite set can be determined from the structure of a point stabilizer. Also, we give some sufficient conditions for the existence of a proper subgroup having an infinite orbit in a totally imprimitive p-group of finitary permutations. These results, with the help of some known results, give sufficient conditions for the nonexistence of a perfect locally finite minimal non FC - (p-group).
On Certain Modified Meyer-König And Zeller Operators, Lucyna Rempulska, Karolina Tomczak
On Certain Modified Meyer-König And Zeller Operators, Lucyna Rempulska, Karolina Tomczak
Turkish Journal of Mathematics
We introduce certain modified Meyer-König and Zeller operators and we study their approximation properties. The similar results for modified Bernstein polynomials were given in [6].
The Homological Theory Of Degree Of Fql-Mappings, Aki̇f Abbasov
The Homological Theory Of Degree Of Fql-Mappings, Aki̇f Abbasov
Turkish Journal of Mathematics
In this article the homological theory is specially worked out, ìadaptedî for definition of the degree of mapping from one of the classes of infinite-dimensional mappings, exactly FQL-mappings, introduced in [7].
Finite Groups All Of Whose Abelian Subgroups Of Equal Order Are Conjugate, Sezgi̇n Sezer, Robert W. Van Der Waall
Finite Groups All Of Whose Abelian Subgroups Of Equal Order Are Conjugate, Sezgi̇n Sezer, Robert W. Van Der Waall
Turkish Journal of Mathematics
In this paper we classify the finite groups whose abelian subgroups of equal order (B^*-groups) are conjugate. The classification has been achieved by means of a lot of general structure properties of B^*-groups, provided in the course of the paper.
Quasi-Dual Modules, M. Tamer Koşan
Quasi-Dual Modules, M. Tamer Koşan
Turkish Journal of Mathematics
Let R be a ring, M be a right R-module and S = End_R(M). M is called a quasi-dual module if, for every R-submodule N of M, N is a direct summand of r_M(X) where X \subseteq S. In this article, we study and provide several characterizations of this module classes. We show that if M is quasi-dual module, then, for all m \in M, r_M \ell_S(m) = mR \oplus K for some submodule K of M. We also show that every quasi-dual module is a Kasch module and Z(_SM) \subseteq Rad (M_R).
Decompositions Of Continuity, Talal Al-Hawary, Ahmad Al-Omari
Decompositions Of Continuity, Talal Al-Hawary, Ahmad Al-Omari
Turkish Journal of Mathematics
In 2004, Al-Hawary and Al-Omari introduced and explored the class of \omega^o-open sets which is strictly stronger than the class of \omega-open sets and weaker than that of open sets. In this paper, we introduce what we call \omega^o-continuity and \omega_X^o-continuity and we give several characterizations and two decompositions of \omega ^o-continuity. Finally, new decompositions of continuity are provided.
On Lifts Of Paracomplex Structures, Mehmet Tekkoyun
On Lifts Of Paracomplex Structures, Mehmet Tekkoyun
Turkish Journal of Mathematics
In this paper, we obtain vertical, complete and horizontal lifts of paracomplex geometric structures on paracomplex manifolds to its tangent bundle. Also, we obtain integrability on paracomplex tangent bundle.
A Fractal Example Of A Continuous Monotone Function With Vanishing Derivatives On A Dense Set And Infinite Derivatives On Another Dense Set, Bünyami̇n Demi̇r, Vakif Dzhafarov, Şahi̇n Koçak, Mehmet Üreyen
A Fractal Example Of A Continuous Monotone Function With Vanishing Derivatives On A Dense Set And Infinite Derivatives On Another Dense Set, Bünyami̇n Demi̇r, Vakif Dzhafarov, Şahi̇n Koçak, Mehmet Üreyen
Turkish Journal of Mathematics
Inspired by the theory of analysis on fractals, we construct an example of a continuous, monotone function on an interval, which has vanishing derivatives on a dense set and infinite derivatives on another dense set. Although such examples could be constructed by classical means of probability and measure theory, this one is more elementary and emerges naturally as a byproduct of some new fractal constructions.
On Uniform Hermitian P-Normed Algebras, A. El-Kinani
On Uniform Hermitian P-Normed Algebras, A. El-Kinani
Turkish Journal of Mathematics
We show that the completion of a uniform hermitian p-normed algebra is a commutative C^*-algebra.
On The Power Subgroups Of The Extended Modular Group \Overline{\Gamma} (Corrigendum - Turk. J. Math. 28,143-151, 2004), Recep Şahi̇n, Sebahatti̇n İki̇kardeş, Özden Koruoğlu
On The Power Subgroups Of The Extended Modular Group \Overline{\Gamma} (Corrigendum - Turk. J. Math. 28,143-151, 2004), Recep Şahi̇n, Sebahatti̇n İki̇kardeş, Özden Koruoğlu
Turkish Journal of Mathematics
No abstract provided.
Pullbacks Of Crossed Modules And Cat^1- Commutative Algebras, Murat Alp
Pullbacks Of Crossed Modules And Cat^1- Commutative Algebras, Murat Alp
Turkish Journal of Mathematics
In this paper we first review the definitions of crossed module [10], pullback crossed module and cat^1-object in the category of commutative algebras. We then describe a certain pullback of cat^1- commutative algebras.
Connectedness In Isotonic Spaces, Eissa D. Habil, Khalid A. Elzenati
Connectedness In Isotonic Spaces, Eissa D. Habil, Khalid A. Elzenati
Turkish Journal of Mathematics
An isotonic space (X,cl) is a set X with isotonic operator cl:P(X) \to P(X) which satisfies cl(\emptyset) = \emptyset and cl(A)\subseteq cl(B) whenever A\subseteq B\subseteq X. Many properties which hold in topological spaces hold in isotonic spaces as well. The notion of connectedness that is familiar from topological spaces generalizes to isotonic spaces. We further extend the notions of Z-connectedness and strong connectedness to isotonic spaces, and we indicate the intimate relationship between these notions.
On Reduced And Semicommutative Modules, Muhi̇tti̇n Başer, Nazim Agayev
On Reduced And Semicommutative Modules, Muhi̇tti̇n Başer, Nazim Agayev
Turkish Journal of Mathematics
In this paper, various results of reduced and semicommutative rings are extended to reduced and semicommutative modules. In particular, we show: (1) For a principally quasi-Baer module, M_R is semicommutative if and only if M_R is reduced. (2) If M_R is a p.p.-module then M_R is nonsingular.
A Survey On The Distribution Of B-Free Numbers, Emre Alkan, Alexandru Zaharescu
A Survey On The Distribution Of B-Free Numbers, Emre Alkan, Alexandru Zaharescu
Turkish Journal of Mathematics
In this paper we present a survey of recent progress on the distribution of B-free numbers in short intervals and some of its applications.
Existence Of Linear-Quadratic Regulator For Degenerate Diffusions, Md. Azizul Baten
Existence Of Linear-Quadratic Regulator For Degenerate Diffusions, Md. Azizul Baten
Turkish Journal of Mathematics
This paper studies a linear regulatory quadratic control problem for degenerate Hamilton-Jacobi-Bellman (HJB) equation. We establish the existence of a unique viscosity and a classical solution of the degenerate HJB equation associated with this problem by the technique of viscosity solutions, and, hence, derive an optimal control from the optimality conditions in the HJB equation.
Two-Weight Norm Inequalities For Some Anisotropic Sublinear Operators, Yusuf Zeren, V. S. Guliyev
Two-Weight Norm Inequalities For Some Anisotropic Sublinear Operators, Yusuf Zeren, V. S. Guliyev
Turkish Journal of Mathematics
In this paper, we establish several general theorems for the boundedness of the anisotropic sublinear operators on a weighted Lebesgue space. Conditions of these theorems are satisfied by many important operators in analysis. We also give some applications the boundedness of the parabolic singular integral operators, and the maximal operators associated with them from one weighted Lebesgue space to another one. Using this results, we prove weighted embedding theorems for the anisotropic Sobolev spaces W_{\omega_0,\omega_1,...,\omega_n}^{l_1,...,l_n}(\Rn).
On Graded Weakly Prime Ideals, Shahabaddin Ebrahimi Atani
On Graded Weakly Prime Ideals, Shahabaddin Ebrahimi Atani
Turkish Journal of Mathematics
Let G be an arbitrary group with identity e, and let R be a G-graded commutative ring. Weakly prime ideals in a commutative ring with non-zero identity have been introduced and studied in [1]. Here we study the graded weakly prime ideals of a G-graded commutative ring. A number of results concerning graded weakly prime ideals are given. For example, we give some characterizations of graded weakly prime ideals and their homogeneous components.
Diagonal Lift In The Tangent Bundle Of Order Two And Its Applications, Fouzi Hathout, H. M. Dida
Diagonal Lift In The Tangent Bundle Of Order Two And Its Applications, Fouzi Hathout, H. M. Dida
Turkish Journal of Mathematics
In this paper we define a diagonal lift ^{D}g of Riemannian metric g of manifold M_n to the tangent bundle of order two denoted by T^{2}M_n of M_n, we associate to ^{D}g its Levi-civita connection of T^2 M and we investigate applications of the diagonal lifts in the killing vectors and geodesics.
Note On Generalized Jordan Derivations Associate With Hochschild 2-Cocycles Of Rings, Atsushi Nakajima
Note On Generalized Jordan Derivations Associate With Hochschild 2-Cocycles Of Rings, Atsushi Nakajima
Turkish Journal of Mathematics
We introduce a new type of generalized derivations associate with Hochschild 2-cocycles and prove that every generalized Jordan derivation of this type is a generalized derivation under certain conditions. This result contains the results of I. N. Herstein [6, Theorem 3.1] and M. Ashraf and N-U. Rehman [1, Theorem].
Weighted Norm Inequalities For A Class Of Rough Maximal Operators, Hussain Al-Qassem
Weighted Norm Inequalities For A Class Of Rough Maximal Operators, Hussain Al-Qassem
Turkish Journal of Mathematics
We consider maximal singular integral operators arising from rough kernels satisfying an H^1-type condition on the unit (n-1)-sphere and prove weighted L^p estimates for certain radial weights. We also prove weighted L^p estimates with A_p-weights where in this case the H^1 -type condition is replaced by an L^q-type condition with q > 1. Some applications of these results are also obtained regarding singular integrals and Marcinkiewicz integrals. Our results are essential extensions and improvements of some known results.
A Note On Kaehlerian Manifolds, Nejmi̇ Cengi̇z, Ö. Tarakçi, A. A. Sali̇mov
A Note On Kaehlerian Manifolds, Nejmi̇ Cengi̇z, Ö. Tarakçi, A. A. Sali̇mov
Turkish Journal of Mathematics
The main purpose of the present paper is to study nearly Kaehlerian manifolds. We give the condition for an almost Hermitian manifold to be nearly Kaehlerian.
Phase Distribution Of The Output Of Jaynes-Cummings Model With The Superposition Of Squeezed Displaced Fock States, Gamal Mohamed Abd Al-Kader
Phase Distribution Of The Output Of Jaynes-Cummings Model With The Superposition Of Squeezed Displaced Fock States, Gamal Mohamed Abd Al-Kader
Turkish Journal of Physics
The Wigner quasi-probability function for the superposition of squeezed displaced Fock states (SDFS's) is reviewed. The interaction of these states with a two-level atom in cavity with the presence of additional Kerr medium is studied. Exact general matrix elements of the time-dependent operators of a Jaynes-Cummings model (JCM), in the presence of a Kerr medium, with these states are derived. We have obtained the phase distribution by two different ways: one is by Pegg-Barnett formalism, the second is by integration of the Wigner function over the radial variable. Results of these two approaches are compared. The Wigner phase distributions for …
Influence Of Thickness On Optical Properties Of A: As_2se_3 Thin Films, Dinesh C. Sati, Rajendra Kumar, Ram Mohan Mehra
Influence Of Thickness On Optical Properties Of A: As_2se_3 Thin Films, Dinesh C. Sati, Rajendra Kumar, Ram Mohan Mehra
Turkish Journal of Physics
This paper reports optical properties of amorphous chalcogenide thin films of As_2Se_3 of different thicknesses 2000-6800 Å. The transmittance and reflectance of thin films were measured in the wavelength range 500-1000 nm. It was found that the optical band gap increases with film thickness. Variation of refractive index n and extinction coefficient k with thickness have been studied to analyze optical efficiency of the As_2Se_3 thin films. The dielectric behavior of the films has also been studied and high frequency dielectric constants \varepsilon_{\infty} has been estimated as a function of thickness of films.