Invariants Of Symmetric Algebras Associated To Graphs,
2012
TÜBİTAK
Invariants Of Symmetric Algebras Associated To Graphs, Maurizio Imbesi, Monica La Barbiera
Turkish Journal of Mathematics
In this work we deal with the symmetric algebra of monomial ideals that arise from graphs, the edge ideals. The notion of s-sequence is explored for such ideals in order to compute standard algebraic invariants of their symmetric algebra in terms of the corresponding invariants of special quotients of the polynomial ring related to the graphs.
Value Distribution Of Meromorphic Functions And Their Differences,
2012
TÜBİTAK
Value Distribution Of Meromorphic Functions And Their Differences, Ranran Zhang, Zongxuan Chen
Turkish Journal of Mathematics
Let f(z) be a transcendental meromorphic function. Results are proved concerning the value distribution of the n'th forward difference \Delta^nf(z), in terms of Borel exceptional values of f(z). The results may be partly viewed as discrete analogues of a classical theorem of Hayman dealing with the possible relationships between Picard exceptional values of f(z) and its derivatives.
On F_S-Supplemented Primary Subgroups Of Finite Groups,
2012
TÜBİTAK
On F_S-Supplemented Primary Subgroups Of Finite Groups, Lujin Zhu, Long Miao
Turkish Journal of Mathematics
Let G be a finite group and F a formation of finite groups. A subgroup H of G is called F_s-supplemented in G if there exists a subnormal subgroup T of G such that G = HT and (H \cap T)H_G/H_G is contained in the F-hypercenter Z^F_{\infty}(G/H_G) of G/H_G. In this paper, we study the structure of finite groups by using F_s-supplemented subgroups.
On The Order Of Weighted Approximation By Positive Linear Operators,
2012
TÜBİTAK
On The Order Of Weighted Approximation By Positive Linear Operators, Tüli̇n Coşkun
Turkish Journal of Mathematics
An estimation of approximation of continuous functions by positive linear operators in weighted norm using the weighted modulus of continuity is established. Application of the main result to the known Gadjiyev-Ibragimov operators is given.
C^*-Convexity And C^*-Faces In *-Rings,
2012
TÜBİTAK
C^*-Convexity And C^*-Faces In *-Rings, Ali Ebrahimi Meymand, Gholam Hossein Esslamzadeh
Turkish Journal of Mathematics
Existence of rich algebraic, geometric and topological structures on self-adjoint operator algebras raises the general question that, for a particular theorem which of these structures have made the result work. The present paper is an effort toward the answer of this question, by investigating the role of algebraic structure in the subject of C^*-convexity. In this paper, we extend the notions of C^*-convexity, C^*-extreme point and C^*-face to *-rings and we study some of their properties. We introduce the notion of C^*-convex map on C^*-convex subsets of a *-ring. Moreover we identify optimal points of some unital *-homomorphisms on some …
Invariant Parametrizations And Complete Systems Of Global Invariants Of Curves In The Pseudo-Euclidean Geometry,
2012
TÜBİTAK
Invariant Parametrizations And Complete Systems Of Global Invariants Of Curves In The Pseudo-Euclidean Geometry, Ömer Pekşen, Djavvat Khadjiev, İdri̇s Ören
Turkish Journal of Mathematics
Let M(n, p) be the group of all transformations of an n-dimensional pseudo-Euclidean space E^n_p of index p generated by all pseudo-orthogonal transformations and parallel translations of E^n_p. Definitions of a pseudo-Euclidean type of a curve, an invariant parametrization of a curve and an M(n, p)-equivalence of curves are introduced. All possible invariant parametrizations of a curve with a fixed pseudo-Euclidean type are described. The problem of the M(n, p)-equivalence of curves is reduced to that of paths. Global conditions of the M(n, p)-equivalence of curves are given in terms of the pseudo-Euclidean type of a curve and the system …
Small Covers Over Products Of A Polygon With A Simplex,
2012
TÜBİTAK
Small Covers Over Products Of A Polygon With A Simplex, Yanying Wang, Yanchang Chen
Turkish Journal of Mathematics
The equivariant homeomorphism class of an (orientable) small cover over a simple convex polytope P^n bijectively corresponds to the equivalence class of its (orientable) coloring under the action of automorphism group of face poset of P^n. By calculating the number of orbits of group actions we determine the number of equivariant homeomorphism classes of small covers over products of a polygon with a simplex. Moreover, we calculate the number of equivariant homeomorphism classes of all orientable small covers over the product.
Hilbert Functions And Betti Numbers Of Reverse Lexicographic Ideals In The Exterior Algebra,
2012
TÜBİTAK
Hilbert Functions And Betti Numbers Of Reverse Lexicographic Ideals In The Exterior Algebra, Marilena Crupi, Carmela Ferro'
Turkish Journal of Mathematics
Let K be a field, V a K-vector space with basis e_1,...,e_n and let E be the exterior algebra of V. We study the class of reverse lexicographic ideals in E. We analyze the behaviour of their Hilbert functions and Betti numbers.
L^P Regularity Of Some Weighted Bergman Projections On The Unit Disc,
2012
TÜBİTAK
L^P Regularity Of Some Weighted Bergman Projections On The Unit Disc, Yunus Ergi̇n Zeytuncu
Turkish Journal of Mathematics
We show that weighted Bergman projections, corresponding to weights of the form M(z)(1- z ^2)^\alpha, where \alpha > -1 and M(z) is a radially symmetric, strictly positive and at least C^2 function on \overline{D}, are L^p regular.
Superinjective Simplicial Maps Of The Complexes Of Curves On Nonorientable Surfaces,
2012
TÜBİTAK
Superinjective Simplicial Maps Of The Complexes Of Curves On Nonorientable Surfaces, Elmas Irmak
Turkish Journal of Mathematics
We prove that each superinjective simplicial map of the complex of curves of a compact, connected, nonorientable surface is induced by a homeomorphism of the surface, if (g, n) \in {(1, 0), (1, 1), (2, 0), (2, 1), (3, 0)} or g + n \geq 5, where g is the genus of the surface and n is the number of the boundary components.
On The Biharmonic Vector Fields,
2012
TÜBİTAK
On The Biharmonic Vector Fields, Mustapha Djaa, Hichem Elhendi, Seddik Ouakkas
Turkish Journal of Mathematics
The problem studied in this paper is related to the biharmonicity of a vector field from a Riemannian manifold (M,g) to its tangent bundle TM equipped with the Sasaki metric g^s. We show that a vector field on a compact manifold is biharmonic if and only if is harmonic. We also investigate the biharmonicity of vector field of M, as a map from (M,g) to (TM,g^s).
Generalized Berwald Metrics,
2012
TÜBİTAK
Generalized Berwald Metrics, Esmaeil Peyghan, Akbar Tayebi
Turkish Journal of Mathematics
In this paper, we consider a class of Finsler metrics called generalized Berwald metrics which contains the class of Berwald metrics as a special case. We prove that every generalized Berwald metrics with non-zero scalar flag curvature or isotropic Berwald curvature is a Randers metric. Then we prove that on generalized Berwald metrics, the notions of generalized Landsberg and Landsberg curvatures are equivalent.
Weight And Nonlinearity Of Boolean Functions,
2012
TÜBİTAK
Weight And Nonlinearity Of Boolean Functions, Lavinia Corina Ciungu
Turkish Journal of Mathematics
In this paper we analyze the weight and the nonlinearity of various types of Boolean functions. We give some general results related to rotation symmetric Boolean functions, and in particular, we prove partially a conjecture stated by Cusick and Stanica in [3].
Results Of Generalized Local Cohomology Modules Of A-Minimax Modules,
2012
TÜBİTAK
Results Of Generalized Local Cohomology Modules Of A-Minimax Modules, Hero Saremi
Turkish Journal of Mathematics
Let R be a commutative Noetherian ring, M a finitely generated R-module, and N a minimax R-module. It is shown that if a is an ideal of R, such that cd(a)=1, where cd is the cohomological dimension of a in R, then H_a^j(M, N) and Ext_R^i(M,H_a^j(N)) are a-cominimax for all i,j. Furthermore, if t is a non-negative integer such that H_a^j(M, N) is a-minimax for all j
Essential Normality For Certain Weighted Composition Operators On The Hardy Space H^2,
2012
TÜBİTAK
Essential Normality For Certain Weighted Composition Operators On The Hardy Space H^2, Mahsa Fatehi, Bahram Khani Robati
Turkish Journal of Mathematics
We characterize the essentially normal weighted composition operators C_{\psi,\varphi} on the Hardy space H^2, whenever \varphi is a linear-fractional transformation and \psi \in A(D). Also we investigate the essential normality problem for some other weighted composition operators on H^2.
P-Rank And P-Groups In Algebraic Groups,
2012
TÜBİTAK
P-Rank And P-Groups In Algebraic Groups, Adrien Deloro
Turkish Journal of Mathematics
A few remarks on the measures of the p-rank of a group equipped with a dimension, including the refutation of a result of Burdges and Cherlin.
Spring-Block Models Of Earthquake Dynamics,
2012
Minnesota State University - Mankato
Spring-Block Models Of Earthquake Dynamics, Ashley E. Mccall
All Graduate Theses, Dissertations, and Other Capstone Projects
In this paper, the dynamics of spring-block models are studied. A brief overview of the history of spring-block models relating to earthquakes is presented, along with the development of friction laws. Several mathematical topics relating to dynamical systems are also discussed. We consider two spring-block models; one with Dieterich-Ruina rate and state dependent friction and another with a modified Dieterich-Ruina style friction. For each system, the qualitative behavior and numerical solutions are presented. In the first case, we find that the system undergoes a Hopf bifurcation from a stationary solution to a periodic orbit, and eventually transitions to chaos. In …
Permutation Notations For The Exceptional Weyl Group F4,
2012
Dartmouth College
Permutation Notations For The Exceptional Weyl Group F4, Patricia Cahn, Ruth Haas, Aloysius G. Helminck, Juan Li, Jeremy Schwartz
Mathematics Sciences: Faculty Publications
This paper describes a permutation notation for the Weyl groups of type F4 and G2. The image in the permutation group is presented as well as an analysis of the structure of the group. This description enables faster computations in these Weyl groups which will prove useful for a variety of applications.
A New Qcd Effect: The Shrinking Radius Of Hadrons,
2012
University of Rochester
A New Qcd Effect: The Shrinking Radius Of Hadrons, Tamar Friedmann
Mathematics Sciences: Faculty Publications
We propose an extended schematic model for hadrons in which quarks as well as diquarks serve as building blocks. The outcome is a reclassification of the hadron spectrum in which there are no radially excited hadrons: all mesons and baryons previously believed to be radial excitations are orbitally excited states involving diquarks. Also, there are no exotic hadrons: all hadrons previously believed to be exotic are states involving diquarks and are an integral part of the model. We discuss the implications of this result for a new understanding of confinement and its relation to asymptotic freedom, as well as its …
On K-Trees And Special Classes Of K-Trees,
2012
University of Mississippi
On K-Trees And Special Classes Of K-Trees, John Wheless Estes
Electronic Theses and Dissertations
The class of k-trees is defined recursively as follows: the smallest k-tree is the k-clique. If G is a graph obtained by attaching a vertex v to a k-clique in a k-tree, then G is also a k-tree. Trees, connected acyclic graphs, are k-trees for k = 1. We introduce a new parameter known as the shell of a k-tree, and from the shell special subclasses of k-trees, tree-like k-trees, are classified. Tree-like k-trees are generalizations of paths, maximal outerplanar graphs, and chordal planar graphs with toughness exceeding one. Let fs = fs( G) be the number of independent sets …
