Browsing FEF, Matematik Bölümü, Makale Koleksiyonu by Title
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Clattices and decompositions of generalized clifford algebras
(Springer Verlag, 201005)In this note we introduce Clattices to make use of them to provide a short and selfcontained proof to the decomposition theorems of generalized Clifford algebras established by T. Y. Lam and T. L. Smith. 
Characterization of some ring properties in incidence algebras
(Taylor & Francis, 2011)Let R be a ring with identity and I(X, R) be the incidence algebra of a locally finite partially ordered set X over R. In this article, we investigate the necessary and sufficient conditions for the incidence ring to be ... 
A class of multi  parameter eigenvalue problems for perturbed pLaplacians
(Elsevier, 20120515)This paper is devoted to multiparameter eigenvalue problems for onedimensional perturbed pLaplacians, modelling travelling waves for a class of nonlinear evolution PDE. Dispersion relations between the eigenparameters, ... 
A combinatorial discussion on finite dimensional leavitt path algebras
(Hacettepe Üniversitesi, 2014)Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings. We shall consider the direct sum of finite dimensional full ... 
A combinatorial discussion on ﬁnite edimensional Leavitt path algebras
(Hacettepe University, 2014)Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings. We shall consider the direct sum of finite dimensional full ... 
Comment on "group analysis of KdV equation with time dependent coefficients"
(Elsevier, 20101215)We show that the group classification results of the article entitled "Group analysis of KdV equation with time dependent coefficients" which appeared in (A.G. Johnpillai, M.C. Khalique, Group analysis of KdV equation with ... 
Darboux function in a hypersurface of a Riemannian manifold with semisymmetric metric connection
(Hikari, 200810)In 1970, Yano, [1], studied Riemannian manifolds which admit semisymmetric metric connections whose curvature tensors vanish (see also [2]). The properties of a Riemannian manifold admitting a semisymmetric metric connection ... 
Derived length of a Frobeniuslike kernel
(Elsevier, 20140815)A finite group FH is said to be Frobeniuslike if it has a nontrivial nilpotent normal subgroup F called kernel which has a nontrivial complement H such that FH/[F,F]FH/[F,F] is a Frobenius group with Frobenius kernel ... 
Essential spectral singularities and the spectral expansion for the hill operator
(American Institute of Mathematical Sciences, 201711)In this paper we investigate the spectral expansion for the onedimensional Schrodinger operator with a periodic complexvalued potential. For this we consider in detail the spectral singularities and introduce new concepts ... 
Finite groups admitting a dihedral group of automorphisms
(Lugansk National Taras Shevchenko University, 2017)Let D = alpha, beta be a dihedral group generated by the involutions alpha and beta and let F = alpha beta). Suppose that D acts on a finite group G by automorphisms in such a way that CG(F)= 1. In the present paper we ... 
Finite groups whose character degree graphs coincide with their prime graphs
(Springer, 201809)In the literature, there are several graphs related to a finite group G. Two of them are the character degree graph, denoted by ΔG), and the prime graph ΓG), In this paper we classify all finite groups whose character ... 
Fixed point free action on groups of odd order
(Elsevier, 20080701)Let A be a finite abelian group that acts fixed point freely on a finite (solvable) group G . Assume that G is odd and A is of squarefree exponent coprime to 6. We show that the Fitting length of G is bounded by the ... 
Fixedpoint free action of an abelian group of odd nonsquarefree exponent
(Edinburgh Mathematical Society, 201102)Let A be a finite group acting fixedpoint freely on a finite (solvable) group G. A longstanding conjecture is that if (G, A) = 1, then the Fitting length of G is bounded by the length of the longest chain of subgroups ... 
Formula for the number of eigenvalues of a threeparticle Schrödinger operator on a lattice
(Springer, 201007)We consider a system of three arbitrary quantum particles on a threedimensional lattice that interact via shortrange attractive potentials. We obtain a formula for the number of eigenvalues in an arbitrary interval outside ... 
Frobeniuslike groups as groups of automorphisms
(TÜBİTAK, 20141121)A finite group F H is said to be Frobeniuslike if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that F H/[F, F] is a Frobenius group with Frobenius kernel F/[F, F]. Such subgroups and ... 
Generalized catalan numbers, sequences and polynomials
(TÜBİTAK, 2010)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 ... 
A generalized fixed point free automorphism of prime power order
(World Scientific Publishing, 201206)Let G be a finite group and α be an automorphism of G of order pn for an odd prime p. Suppose that α acts fixed point freely on every αinvariant p′section of G, and acts trivially or exceptionally on every elementary ... 
A generalized fixedpointfree action
(World Scientific Publishing, 201305)In this paper we study the structure of a finite group G admitting a solvable group A of automorphisms of coprime order so that for any x ∈ CG(A) of prime order or of order 4, every conjugate of x in G is also contained ... 
Global attractors for the 3D viscous cahnhillard equations in an unbounded domain
(Taylor & Francis, 200908)In this note the 3D viscous CahnHillard equation is considered in an unbounded domain. It is shown that the semigroup generated by this equation has a global attractor. The asymptotic compactness of the solution operator ... 
Global existence and open loop exponential stabilization of weak solutions for nonlinear schrodinger equations with localized external neumann manipulation
(Elsevier, 201303)In this paper, we consider the nonlinear Schrodinger equations (NLS) with (focusing/defocusing) interior source and (possibly nonlinear) damping on a bounded regular domain in the Euclidean space. Moreover, it is assumed ...