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Action of a Frobeniuslike group with fixedpoint free kernel
(De Gruyter, 201402)We call a finite group Frobeniuslike if it has a nontrivial nilpotent normal subgroup F possessing a nontrivial complement H such that [F,h]=F for all nonidentity elements h ∈ H. We prove that any irreducible nontrivial ... 
Action of a frobeniuslike group with kernel having central derived subgroup
(World Scientific Publishing, 201609)A finite group FH is said to be Frobeniuslike if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that [F, h] = F for all nonidentity elements h is an element of H. Suppose that a finite ... 
Action of a Frobeniuslikegroup
(Elsevier, 20140315)We call a finite group Frobeniuslike if it has a nontrivial nilpotent normal subgroup F possessing a nontrivial complement H such that [F,h]=F[F,h]=F for all nonidentity elements h∈Hh∈H. We prove that any irreducible ... 
An algorithm for finding the periodic potential of the threedimensional Schrodinger operator from spectral invariants
(IOP Publishing, 20110415)In this paper, we investigate the threedimensional Schrodinger operator with a periodic, relative to a lattice Omega of R(3), potential q. A special class V of the periodic potentials is constructed, which is easily and ... 
Annihilators of principal ideals in the exterior algebra
(Mathematical Society of the Republic of China, 2007)In this paper we describe annihilators of principal ideals of exterior algebras. For odd elements we establish formulae for dimensions of their principal ideals and their annihilators. For even elements we exhibit ... 
Asymptotic analysis of non  self  adjoint Hill operators
(Springer Verlag, 201312)We obtain uniform asymptotic formulas for the eigenvalues and eigenfunctions of the SturmLiouville operators L (t) (q) with a potential q a L (1)[0,1] and tperiodic boundary conditions, t a (pi, pi]. Using these formulas, ... 
Asymptotic and numerical methods in estimating eigenvalues
(Hindawi Publishing Corporation, 2013)Asymptotic formulas and numerical estimations for eigenvalues of SturmLiouville problems having singular potential functions, with Dirichlet boundary conditions, are obtained. This study gives a comparison between the ... 
Asymptotic formulae for the Bloch eigenvalues near planes of diffraction
(Elsevier, 200612)In this paper we obtain asymptotic formulae of arbitrary order for the Bloch eigenvalue of the periodic Schrödinger operator △ + q(x), of arbitrary dimension, when the corresponding quasimomentum lies near planes of diffraction. 
Asymptotic formulae for the Schrodinger operator with Dirichlet and Neumann boundary conditions
(Elsevier, 200504)In this paper, we consider the Schrodinger operators defined by the differential expression Lu = Delta u+q(x)u in ddimensional parallelepiped F, with the Dirichlet and Neumann boundary conditions, and obtain the asymptotic ... 
Asymptotic formulas for Dirichlet boundary value problems
(Akademiai Kiado, 200505)In this article we obtain asymptotic formulas of arbitrary order for eigenfunctions and eigenvalues of the nonselfadjoint SturmLiouville operators with Dirichlet boundary conditions, when the potential is a summable ... 
Asymptotic formulas for the resonance eigenvalues of the Schrödinger operator
(TÜBİTAK, 2005)In this paper, we consider the Schrödinger operators defined by the differential expression ... in ddimensional paralellepiped F, with the Dirichlet and the Neumann boundary conditions, where q(x) is a real valued function ... 
Asymptotic formulas with arbitrary order for nonseleadjoint differential operators
(Akademiai Kiado, 200709)We obtain asymptotic formulas with arbitrary order of accuracy for the eigenvalues and eigenfunctions of a nonselfadjoint ordinary differential operator of order n whose coefficients are Lebesgue integrable on [0,1] and ... 
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 ...