When \Delta-Semiperfect Rings Are Semiperfect,
2010
TÜBİTAK
When \Delta-Semiperfect Rings Are Semiperfect, Engi̇n Büyükaşik, Christian Lomp
Turkish Journal of Mathematics
Zhou defined \delta-semiperfect rings as a proper generalization of semiperfect rings. The purpose of this paper is to discuss relative notions of supplemented modules and to show that the semiperfect rings are precisely the semilocal rings which are \delta-supplemented. Module theoretic version of our results are obtained.
Generalized Fibonacci Sequences Related To The Extended Hecke Groups And An Application To The Extended Modular Group,
2010
TÜBİTAK
Generalized Fibonacci Sequences Related To The Extended Hecke Groups And An Application To The Extended Modular Group, Özden Koruoğlu, Recep Şahi̇n
Turkish Journal of Mathematics
The extended Hecke groups \overline{H}(\lambda _{q}) are generated by T(z)=-1/z, S(z)=-1/(z+\lambda _{q}) and R(z)=1/ \overline{z} with \lambda _{q}=2\cos (\pi /q) for q\geq 3 integer. In this paper, we obtain a sequence which is a generalized version of the Fibonacci sequence given in [6] for the extended modular group \overline{\Gamma }, in the extended Hecke groups \overline{H}(\lambda_{q}). Then we apply our results to \overline{\Gamma } to find all elements of the extended modular group \overline{\Gamma }.
Some Sufficient Conditions For Starlikeness And Convexity,
2010
TÜBİTAK
Some Sufficient Conditions For Starlikeness And Convexity, Mamoru Nunokawa, Shigeyoshi Owa, Yaşar Polatoğlu, Mert Çağlar, Emel Yavuz Duman
Turkish Journal of Mathematics
There are many results for sufficient conditions of functions f(z) which are analytic in the open unit disc U to be starlike and convex in U. In view of the results due to S. Ozaki, I. Ono and T. Umezawa (1956), P.T. Mocanu (1988), and M. Nunokawa (1993), some sufficient conditions for starlikeness and convexity of f(z) are discussed.
Injective Simplicial Maps Of The Arc Complex,
2010
TÜBİTAK
Injective Simplicial Maps Of The Arc Complex, Elmas Irmak, John D. Mccarthy
Turkish Journal of Mathematics
In this paper, we prove that each injective simplicial map of the arc complex of a compact, connected, orientable surface with nonempty boundary is induced by a homeomorphism of the surface. We deduce, from this result, that the group of automorphisms of the arc complex is naturally isomorphic to the extended mapping class group of the surface, provided the surface is not a disc, an annulus, a pair of pants, or a torus with one hole. We also show, for each of these special exceptions, that the group of automorphisms of the arc complex is naturally isomorphic to the quotient …
An Expansion Result For A Sturm-Liouville Eigenvalue Problem With Impulse,
2010
TÜBİTAK
An Expansion Result For A Sturm-Liouville Eigenvalue Problem With Impulse, Şeri̇fe Faydaoğlu, Gusein Sh. Guseinov
Turkish Journal of Mathematics
The paper is concerned with an eigenvalue problem for second order differential equations with impulse. Such a problem arises when the method of separation of variables applies to the heat conduction equation for two-layered composite. The existence of a countably infinite set of eigenvalues and eigenfunctions is proved and a uniformly convergent expansion formula in the eigenfunctions is established.
On The Qualitative Analysis Of The Uniqueness Of The Movement Of Endothelial Cells,
2010
TÜBİTAK
On The Qualitative Analysis Of The Uniqueness Of The Movement Of Endothelial Cells, Erdem Altuntaç, Serdal Pamuk
Turkish Journal of Mathematics
This paper extends the work of Pamuk (2003) by showing mathematically that the movement of endothelial cells, to the regions where active enzyme is large or where fibronectin is small, is unique. To do this, we obtain the existence and uniqueness of the steady-state solution of an initial-boundary value problem which mathematically models endothelial cell movement in tumor angiogenesis. A specific example showing the instability of this steady-state solution is provided.
Some Properties Of C-Fusion Frames,
2010
TÜBİTAK
Some Properties Of C-Fusion Frames, Mohammad Hasan Faroughi, Reza Ahmadi
Turkish Journal of Mathematics
In [10], we generalized the concept of fusion frames, namely, c-fusion frames, which is a continuous version of the fusion frames. In this article we give some important properties about the generalization, namely erasures of subspaces, the bound of c-erasure reconstruction error for Parseval c-fusion frames, perturbation of c-fusion frames and the frame operator for fusion pair.
A Short Survey On Mathematical Work Of Cemal Koç,
2010
TÜBİTAK
A Short Survey On Mathematical Work Of Cemal Koç, İsmai̇l Şuayi̇p Güloğlu
Turkish Journal of Mathematics
No abstract provided.
Generalized Catalan Numbers, Sequences And Polynomials,
2010
TÜBİTAK
Generalized Catalan Numbers, Sequences And Polynomials, Cemal Koç, İsmai̇l Güloğlu, Songül Esi̇n
Turkish Journal of Mathematics
In this paper we present an algebraic interpretation for generalized Catalan numbers. We describe them as dimensions of certain subspaces of multilinear polynomials. This description is of utmost importance in the investigation of annihilators in exterior algebras.
Swan Conductors And Torsion In The Logarithmic De Rham Complex,
2010
TÜBİTAK
Swan Conductors And Torsion In The Logarithmic De Rham Complex, Si̇nan Ünver
Turkish Journal of Mathematics
We prove, for an arithmetic scheme X/S over a discrete valuation ring whose special fiber is a strict normal crossings divisor in X, that the Swan conductor of X/S is equal to the Euler characteristic of the torsion in the logarithmic de Rham complex of X/S. This is a precise logarithmic analog of a theorem by Bloch [1].
On Abelian Rings,
2010
TÜBİTAK
On Abelian Rings, Nazim Agayev, Abdullah Harmanci, Sai̇t Halicioğlu
Turkish Journal of Mathematics
Let \alpha be an endomorphism of an arbitrary ring R with identity. In this note, we introduce the notion of \alpha-abelian rings which generalizes abelian rings. We prove that \alpha-reduced rings, \alpha-symmetric rings, \alpha-semicommutative rings and \alpha-Armendariz rings are \alpha-abelian. For a right principally projective ring R, we also prove that R is \alpha-reduced if and only if R is \alpha-symmetric if and only if R is \alpha-semicommutative if and only if R is \alpha-Armendariz if and only if R is \alpha-Armendariz of power series type if and only if R is \alpha-abelian.
Pseudo Simplicial Groups And Crossed Modules,
2010
TÜBİTAK
Pseudo Simplicial Groups And Crossed Modules, İlker Akça, Sedat Pak
Turkish Journal of Mathematics
In this paper, we define the notion of pseudo 2-crossed module and give a relation between the pseudo 2-crossed modules and pseudo simplicial groups with Moore complex of length 2.
On Construction Of Coherent States Associated With Homogeneous Spaces,
2010
TÜBİTAK
On Construction Of Coherent States Associated With Homogeneous Spaces, Ali Akbar Arefijamaal
Turkish Journal of Mathematics
In this article, assume that G=H\times_{\tau} K is the semidirect product of two locally compact groups H and K, respectively and consider the quasi regular representation on G. Then for some closed subgroups of G we investigate an admissible condition to generate the Gilmore-Perelomov coherent states. The construction yields a wide variety of coherent states, labelled by a homogeneous space of G.
Order-Isomorphism And A Projection's Diagram Of C(X),
2010
TÜBİTAK
Order-Isomorphism And A Projection's Diagram Of C(X), Ahmed S. Al-Rawashdeh, Sultan M. Al-Suleiman
Turkish Journal of Mathematics
A mapping between projections of C^*-algebras preserving the orthogonality, is called an orthoisomorphism. We define the order-isomorphism mapping on C^*-algebras, and using Dye's result, we prove in the case of commutative unital C^*-algebras that the concepts; order-isomorphism and the orthoisomorphism coincide. Also, we define the equipotence relation on the projections of C(X); indeed, new concepts of finiteness are introduced. The classes of projections are represented by constructing a special diagram, we study the relation between the diagram and the topological space X. We prove that an order-isomorphism, which preserves the equipotence of projections, induces a diagram-isomorphism; also if two diagrams …
The Essential Norm Of A Composition Operator On Orlicz Spaces,
2010
TÜBİTAK
The Essential Norm Of A Composition Operator On Orlicz Spaces, M. R. Jabbarzadeh
Turkish Journal of Mathematics
In this note we determine the lower and upper estimates for the essential norm of a composition operator on the Orlicz spaces under certain conditions.
Complete Systems Of Differential Invariants Of Vector Fields In A Euclidean Space,
2010
TÜBİTAK
Complete Systems Of Differential Invariants Of Vector Fields In A Euclidean Space, Djavvat Khadjiev
Turkish Journal of Mathematics
The system of generators of the differential field of all G-invariant differential rational functions of a vector field in the n-dimensional Euclidean space R^n is described for groups G=M(n) and G=SM(n), where M(n) is the group of all isometries of R^n and SM(n) is the group of all euclidean motions of R^n. Using these results, vector field analogues of the first part of the Bonnet theorem for groups Aff(n), M(n), SM(n) in R^n are obtained, where Aff(n) is the group of all affine transformations of R^n. These analogues are given in terms of the first fundamental form and Christoffel symbols …
Number Of Pseudo--Anosov Elements In The Mapping Class Group Of A Four--Holed Sphere,
2010
TÜBİTAK
Number Of Pseudo--Anosov Elements In The Mapping Class Group Of A Four--Holed Sphere, Feri̇he Atalan, Mustafa Korkmaz
Turkish Journal of Mathematics
We compute the growth series and the growth functions of reducible and pseudo-Anosov elements of the pure mapping class group of the sphere with four holes with respect to a certain generating set. We prove that the ratio of the number of pseudo-Anosov elements to that of all elements in a ball with center at the identity tends to one as the radius of the ball tends to infinity.
Bicircular Matroids With Circuits Of At Most Two Sizes,
2010
University of Mississippi
Bicircular Matroids With Circuits Of At Most Two Sizes, Torina Deachune Lewis
Electronic Theses and Dissertations
Young in his paper titled, Matroid Designs in 1973, reports that Murty in his paper titled, Equicardinal Matroids and Finite Geometries in 1968, was the first to study matroids with all hyperplanes having the same size. Murty called such a matroid an ``Equicardinal Matroid''. Young renamed such a matroid a ``Matroid Design''. Further work on determining properties of these matroids was done by Edmonds, Murty, and Young in their papers published in 1972, 1973, and 1970 respectively. These authors were able to connect the problem of determining the matroid designs with specified parameters with results on balanced incomplete block designs. …
Spatial Isomorphisms Of Algebras Of Truncated Toeplitz Operators,
2010
University of Richmond
Spatial Isomorphisms Of Algebras Of Truncated Toeplitz Operators, William T. Ross, Stephan Ramon Garcia, Warren R. Wogen
Department of Math & Statistics Faculty Publications
We examine when two maximal abelian algebras in the truncated Toeplitz operators are spatially isomorphic. This builds upon recent work of N. Sedlock, who obtained a complete description of the maximal algebras of truncated Toeplitz operators.
The Norm Of A Truncated Toeplitz Operator,
2010
University of Richmond
The Norm Of A Truncated Toeplitz Operator, William T. Ross, Stephan Ramon Garcia
Department of Math & Statistics Faculty Publications
We prove several lower bounds for the norm of a truncated Toeplitz operator and obtain a curious relationship between the H2 and H∞ norms of functions in model spaces.
