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Conjugacy Classes Of Elliptic Elements In The Picard Group, Ni̇hal Yilmaz, İsmai̇l Naci̇ Cangül
Conjugacy Classes Of Elliptic Elements In The Picard Group, Ni̇hal Yilmaz, İsmai̇l Naci̇ Cangül
Turkish Journal of Mathematics
The Picard group $\mathbf{P}$ is a discrete subgroup of $PSL(2,\Bbb{C})$ with Gaussian integer coefficients. Here it is shown that the total number of conjugacy classes of elliptic elements of order 2 and 3 in $\mathbf{P}$, which is given as seven by B. Fine $\left[ 3\right] $, can actually be reduced to four and using this, the conditions for the maximal Fuchsian subgroups of $\mathbf{P}$ to have elliptic elements of orders 2 and 3 are found.
The K-Derivation Of A Gamma-Ring, Hati̇ce Kandamar
The K-Derivation Of A Gamma-Ring, Hati̇ce Kandamar
Turkish Journal of Mathematics
In this paper, the $k$-derivation is defined on a $\Gamma$-ring $M$ (that is, if $M$ is a $\Gamma$-ring, $d:M\to M$ and $k:\Gamma\to \Gamma$ are to additive maps such that $d(a\beta b )= d(a)\beta b + ak(\beta)b + a\beta d(b) $ for all $a,b\in M, \quad \beta \in \Gamma$, then $d$ is called a $k$-derivation of $M$) and the following results are proved. (1) Let $R$ be a ring of characteristic not equal to 2 such that if $xry=0$ for all $x, y\in R$ then $r=0$. If $d$ is a $k$-derivation of the $(R=)\Gamma$-ring $R$ with $k=d$, then $d$ is the …
Qr-Submanifolds And Almost Contact 3-Structure, Rifat Güneş, Bayram Şahi̇n, Sadik Keleş
Qr-Submanifolds And Almost Contact 3-Structure, Rifat Güneş, Bayram Şahi̇n, Sadik Keleş
Turkish Journal of Mathematics
In this paper,QR-submanifolds of quaternion Kaehlerian manifolds with $\dim \nu ^{\perp }=1$ has been considered. It is shown that each QR-submanifold of quaternion Kaehlerian manifold with $\dim \nu ^{\perp }=1$ is a manifold with an almost contact 3-structure. We apply geometric theory of almost contact 3-structure to the classification of QR-submanifolds (resp.Real hypersurfaces) of quaternion Kaehler manifolds (resp.$IR^{4m}$, $m>1$). Some results on integrability of an invariant distribution of a QR-submanifold and on the immersions of its leaves are also obtained.
Lifts Of Derivations To The Semitangent Bundle, Ari̇f A. Salimov, Ekrem Kadioğlu
Lifts Of Derivations To The Semitangent Bundle, Ari̇f A. Salimov, Ekrem Kadioğlu
Turkish Journal of Mathematics
The main purpose of this paper is to investigate the complete lifts of derivations for semitangent bundle and to discuss relations between these and lifts already known.
On Characterization Of Metric Completeness, Guo-Jing Jiang
On Characterization Of Metric Completeness, Guo-Jing Jiang
Turkish Journal of Mathematics
We give seven necessary and sufficient conditions for a metric space to be complete.
On Torsion-Free Barely Transitive Groups, Mahmut Kuzucuoğlu
On Torsion-Free Barely Transitive Groups, Mahmut Kuzucuoğlu
Turkish Journal of Mathematics
B. Hartley asked the following question: Does there exist a torsion free barely transitive group? Existence of torsion free simple barely transitive group is also unknown. We answer the latter question negatively in a special case. Moreover we proved the following: Let $G$ be a simple barely transitive group, and $H$ be a stabilizer of a point. If for a non-identity element $x \in G$, $C_G (x)$ is infinite then, $C_G (x)$ cannot contain $H$.
Intrinsic Equations For A Relaxed Elastic Line On An Oriented Hypersurface In The Minkowski Space R^N_1, Nevi̇n Gürbüz, Ali̇ Görgülü
Intrinsic Equations For A Relaxed Elastic Line On An Oriented Hypersurface In The Minkowski Space R^N_1, Nevi̇n Gürbüz, Ali̇ Görgülü
Turkish Journal of Mathematics
We gived the intrinsic equations for a relaxed elastic line on an oriented surface in ${\Bbb {R}}_1^3$ ([1],[2]). In this paper, we derived the intrinsic equations for a relaxed elastic line on an oriented time-like hypersurface and space-like hypersurface in the Minkowski space ${\Bbb {R}}_1^n$ and gived additional results about relaxed elastic lines on various timelike and spacelike hypersurface in the Minkowski space ${\Bbb {R}}_1^n$.
On Generalized Higher Derivations, Atsushi Nakajima
On Generalized Higher Derivations, Atsushi Nakajima
Turkish Journal of Mathematics
We define the notion of generalized higher derivations and give some elementary relations between generalized higher derivations and higher derivations in the usual sense. We extend the result of an exact sequence of the set of all derivations $\text{Der}(A, M)$ and the set of all generalized derivations $g\text{Der}(A, M)$ given in [N1, Theorem 2.4]. Moreover, we discuss generalized higher Jordan derivations and Lie derivations.
Conjugacy Structure Type And Degree Structure Type In Finite P-Groups, Yadalah Marefat
Conjugacy Structure Type And Degree Structure Type In Finite P-Groups, Yadalah Marefat
Turkish Journal of Mathematics
Let $G$ be a finite $p-$group, and denote by $k(G)$ number of conjugacy classes in $G$. The aim of this paper is to introduce the conjugacy structure type and degree structure type for $p-$groups, and determine these parameters for $p-$groups of order $p^5$, and calculate $k(G)$ for them.
The Pitch And The Angle Of Pitch Of A Closed Nonnull Ruled Hypersurface Whose Generator Is Spacelike In R^{K+2}_1, Ayşe Altin, Aysel Turgut Vanli
The Pitch And The Angle Of Pitch Of A Closed Nonnull Ruled Hypersurface Whose Generator Is Spacelike In R^{K+2}_1, Ayşe Altin, Aysel Turgut Vanli
Turkish Journal of Mathematics
In this paper, the pitch and the angle of pitch of a closed nonnull ruled hypersurface whose generators are spacelike are calculated in $R^{k+2}_1 $.
New And Old Types Of Homogeneity, Ali̇ Ahmad Fora
New And Old Types Of Homogeneity, Ali̇ Ahmad Fora
Turkish Journal of Mathematics
We introduce new types of homogeneity ; namely : locally homogeneity and closed homogeneity .Several results are included discussing some relations between these types and the old ones. Some characterization and decomposition theorems are obtained. Relevant examples and counterexamples are discussed throughout this paper.
A Borsuk-Ulak Theorem For Heisenberg Group Actions, Necdet Güner
A Borsuk-Ulak Theorem For Heisenberg Group Actions, Necdet Güner
Turkish Journal of Mathematics
Let $G=H_{2n+1}$ be a $(2n+1)$-dimensional Heisenberg Lie group acts on $M=C^m-\{0\}$ and $M^{'}=C^{m'}-\{0\}$ exponentially. By using Cohomological Index we proved the following theorem. If $f:M{\to}M^{'}$ is a $G$-equivariant map, then $m{\le}m'$.
On Conjugation In The Mod-P Steenrod Algebra, İsmet Karaca, İlkay Yaslan Karaca
On Conjugation In The Mod-P Steenrod Algebra, İsmet Karaca, İlkay Yaslan Karaca
Turkish Journal of Mathematics
In this paper we prove a formula involving the canonical anti-automorphism $\chi$ of the mod-$p$ Steenrod algebra.
On The Linearity Of Certain Mapping Class Groups, Mustafa Korkmaz
On The Linearity Of Certain Mapping Class Groups, Mustafa Korkmaz
Turkish Journal of Mathematics
S. Bigelow proved that the braid groups are linear. That is, there is a faithful representation of the braid group into the general linear group of some field. Using this, we deduce from previously known results that the mapping class group of a sphere with punctures and hyperelliptic mapping class groups are linear. In particular, the mapping class group of a closed orientable surface of genus $2$ is linear.
On Subspaces Isomorphic To L^Q In Interpolation Of Quasi Banach Spaces, J. A. Lopez Molina
On Subspaces Isomorphic To L^Q In Interpolation Of Quasi Banach Spaces, J. A. Lopez Molina
Turkish Journal of Mathematics
We show that every sequence $\{x_n\}_{n=1}^{\infty}$ in a real interpolation space $(E_0,E_1)_{\theta,q}$, $0 < \theta < 1$, $0 < q < \infty,$ of quasi Banach spaces $E_0,E_1,$ which is $0-$convergent in $E_0 + E_1$ but $\inf_n \;\ x_n\ _{(E_0,E_1)_{\theta,q}} > 0,$ has a subsequence which is equivalent to the standard unit basis of $\ell^q.$
The P-Stirling Numbers, Russel Merris
The P-Stirling Numbers, Russel Merris
Turkish Journal of Mathematics
The purpose of this article is to introduce \( p \)-Stirling numbers of the first and second kinds.
Some Radius Problem For Certain Families Of Analytic Functions, Yaşar Polatoğlu, Meti̇n Bolcal
Some Radius Problem For Certain Families Of Analytic Functions, Yaşar Polatoğlu, Meti̇n Bolcal
Turkish Journal of Mathematics
The aim of this paper is to give bounds of the radius of $\alpha $-convexity for certain families of analytic functions in the unit disc. The radius of $\alpha $-convexity is generalization of the radius of convexity and the radius of starlikeness, and introduced by S.S.Miller; P.T.Mocanu and M.O.Reade [3,4]
Efficient Presentations For Some Direct Products Of Groups, Bi̇lal Vatansever, David M. Gill
Efficient Presentations For Some Direct Products Of Groups, Bi̇lal Vatansever, David M. Gill
Turkish Journal of Mathematics
In this paper we give efficient presentations for $A_4\times D_n$, where n is odd number, or n is even number and (n,3)=1. We also give efficient presentations for $A_5\times D_n$ where n is an even or odd number.
Some Results On Derivation Groups, Murat Alp
Some Results On Derivation Groups, Murat Alp
Turkish Journal of Mathematics
In this paper we describe a share package XMOD of functions for computing with finite, permutation crossed modules, their morphisms and derivations; cat$^1$-groups, their morphisms and their sections, written using the GAP \cite{GAP} group theory programming language. We also give some mathematical results for derivations. These results are suggested by the output produced by the XMOD package.
Strongly Prime Ideals In Cs-Rings, Gonca Güngöroğlu
Strongly Prime Ideals In Cs-Rings, Gonca Güngöroğlu
Turkish Journal of Mathematics
We study and characterize strongly prime right ideals in CS-rings.
On Non-Homogeneous Riemann Boundary Value Problem, Kadi̇r Kutlu
On Non-Homogeneous Riemann Boundary Value Problem, Kadi̇r Kutlu
Turkish Journal of Mathematics
In this paper we consider non-homogeneous Riemann boundary value problem with unbounded oscillating coefficients on a class of open rectifiable Jordan curve.
A Remark On The Asymptotic Properties Of Positive Homogeneous Maps On Homogeneous Lattices, Alp Eden
A Remark On The Asymptotic Properties Of Positive Homogeneous Maps On Homogeneous Lattices, Alp Eden
Turkish Journal of Mathematics
An abstract version of Lyapunov exponents is defined for positive homogeneous maps on Homogeneous Lattices and a sufficient condition is given for the asymptotic stability of the map.
Multipliers Between Orlicz Sequence Spaces, P. B. Djakov, M. S. Ramanuan
Multipliers Between Orlicz Sequence Spaces, P. B. Djakov, M. S. Ramanuan
Turkish Journal of Mathematics
Let $M, N $ be Orlicz functions, and let $D(\ell_M , \ell_N ) $ be the space of all diagonal operators (that is multipliers) acting between the Orlicz sequence spaces $\ell_M$ and $\ell_N$. We prove that the space of multipliers $D(\ell_M , \ell_N )$ coincides with (and is isomorphic to) the Orlicz sequence space $ \ell_{M_N^{*}} ,$ where $ M_N^{*} $ is the Orlicz function defined by $M_N^{*}(\lambda ) = \sup \{ N(\lambda x) - M(x), \; x \in (0,1) \}$.
A Fake Cusp And A Fishtail, Selman Akbulut
A Fake Cusp And A Fishtail, Selman Akbulut
Turkish Journal of Mathematics
No abstract provided.
A Program To Search For Homotopy 3-Spheres, Michael Greene, Colin Rouke
A Program To Search For Homotopy 3-Spheres, Michael Greene, Colin Rouke
Turkish Journal of Mathematics
No abstract provided.
A New Approach To Immersion Theory, Colin Rourke, Brian Sanderson
A New Approach To Immersion Theory, Colin Rourke, Brian Sanderson
Turkish Journal of Mathematics
No abstract provided.
Seiberg-Witten Invariants Of Mapping Tori,Symplectic Fixed Points, And Lefschetz Numbers, Dietmar A. Salamon
Seiberg-Witten Invariants Of Mapping Tori,Symplectic Fixed Points, And Lefschetz Numbers, Dietmar A. Salamon
Turkish Journal of Mathematics
No abstract provided.