Results 21 to 30 of about 42,411 (276)
Centrally Extended Jordan (∗)-Derivations Centralizing Symmetric or Skew Elements
Axioms, 2023 Let A be a non-commutative prime ring with involution ∗, of characteristic ≠2(and3), with Z as the center of A and Π a mapping Π:A→A such that [Π(x),x]∈Z for all (skew) symmetric elements x∈A.
Amal S. Alali +2 more
doaj +1 more source
Radicals of skew polynomial rings and skew Laurent polynomial rings
Journal of Algebra, 2011 In this paper, \(R\) denotes an associative ring with identity, and \(\sigma\) stands for an automorphism of \(R\). \(W(R)\), \(L(R)\) and \(N(R)\) denote the Wedderburn radical, the Levitzki radical and the upper nil radical of \(R\), respectively. An ideal \(I\) of \(R\) is called a \(\sigma\)-ideal if \(\sigma(I)\subseteq I\).
Hong, Chan Yong +2 more
openaire +2 more sources
Reversible skew laurent polynomial rings and deformations of poisson automorphisms [PDF]
, 2009 A skew Laurent polynomial ring S = R[x(+/- 1); alpha] is reversible if it has a reversing automorphism, that is, an automorphism theta of period 2 that transposes x and x(-1) and restricts to an automorphism gamma of R with gamma = gamma(-1).
DAVID A. JORDAN +7 more
core +2 more sources
Quasi-duo skew polynomial rings
Journal of Pure and Applied Algebra, 2008 A characterization of right (left) quasi-duo skew polynomial rings of endomorphism type and skew Laurent polynomial rings are given. In particular, it is shown that (1) the polynomial ring R[x] is right quasi-duo iff R[x] is commutative modulo its Jacobson radical iff R[x] is left quasi-duo, (2) the skew Laurent polynomial ring is right quasi-duo iff ...
Leroy, André +2 more
openaire +3 more sources
Rings of skew polynomials and Gel'fand-Kirillov conjecture for quantum groups [PDF]
, 1993 We introduce and study action of quantum groups on skew polynomial rings and related rings of quotients. This leads to a ``q-deformation'' of the Gel'fand-Kirillov conjecture which we partially prove. We propose a construction of automorphisms of certain
A. Joseph +20 more
core +2 more sources
Right and left modules over the Frobenius skew polynomial ring in the F-finite case [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2010 The main purposes of this paper are to establish and exploit the result that, over a complete (Noetherian) local ring R of prime characteristic for which the Frobenius homomorphism f is finite, the appropriate restrictions of the Matlis-duality functor ...
R. Y. Sharp, Y. Yoshino
semanticscholar +1 more source
British Journal of Mathematics & Computer Science, 2015 DOI: 10.9734/BJMCS/2015/18665 Editor(s): (1) Sergio Serrano, Department of Applied Mathematics, University of Zaragoza, Spain. Reviewers: (1) Arvid Siqveland, Buskerud Vestfold University College, Norway. (2) Piyush Shroff, Mathematics, Texas State University, USA. (3) Francisco Bulnes, Department in Mathematics And Engineering, Tecnologico De Estudios,
W. Fakieh, S. Nauman
openaire +1 more source
Commutative part of skew polynomial ring over split-octonion
Journal of Physics: Conference Series, 2019 Let R be a ring. The set of polynomials R[x: σ] forms a ring with multiplication rule σ(a)x for all a ∈ R where σ is an endomorphism on R. In this paper R is the ring split octonion.
A. K. Amir +5 more
semanticscholar +1 more source
Graded annihilators of modules over the Frobenius skew polynomial ring, and tight closure [PDF]
, 2006 This paper is concerned with the tight closure of an ideal [a] in a commutative Noetherian local ring R of prime characteristic P. Several authors, including R. Fedder, K-i. Watanabe, K. E. Smith, N. Hara and F.
R. Y. Sharp
semanticscholar +1 more source
An alternative proof of Miyashita's Theorem in a skew polynomial ring II
Gulf Journal of Mathematics, 2018 Y. Miyashita gave characterizations of a separable polynomial and a Hirata separable polynomial in skew polynomial rings. In the previous paper, the author and S.
Satoshi Yamanaka, Shûichi Ikehata
semanticscholar +1 more source