Results 11 to 20 of about 19,413 (252)

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, Kim, Nam Kyun, Lee, Yang   +2 more
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Türetim ile Z_(2^s )+uZ_(2^s ) Halkası Üzerinde Aykırı Devirli Kodlar

Journal of Advanced Research in Natural and Applied Sciences, 2022
Kodlama teorisinde, lineer kodların özel bir sınıfı olan devirli kodlar ile ilgili araştırmalar büyük ilgi görmektedir. Bu ilginin en önemli nedenlerinden bazıları devirli kodların zengin cebirsel özelliklere sahip olmaları, birçok uygulama alanlarının ...
Basri Çalışkan
doaj   +1 more source

The eigenspaces of twisted polynomials over cyclic field extensions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
Let K be a field and σ an automorphism of K of order n. Employing a nonassociative algebra, we study the eigenspace of a bounded skew polynomial f ∈ K[t; σ].
Owen Adam, Pumplün Susanne
doaj   +1 more source

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, Hafedh M. Alnoghashi, Nadeem ur Rehman   +2 more
doaj   +1 more source

Generalized Skew Polynomial Rings [PDF]

Transactions of the American Mathematical Society, 1982
For a totally ordered cancellative semigroup Γ \Gamma , a skew field K K , let K [ Γ ; ϕ ] K[\Gamma ;\phi ] be a skew semigroup ring. If x ∈ Γ , k ∈ K x \in \Gamma ,\,k \in K , then
openaire   +1 more source

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, Devaney R., Krause G. R., Lorenz M., McConnell J. C., NONGKHRAN SASOM, O'Farrell A. G., Passman D. S.   +7 more
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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, Matczuk, Jerzy, Puczylowski, Edmund   +2 more
openaire   +3 more sources

Oddification of the cohomology of type A Springer varieties [PDF]

, 2012
We identify the ring of odd symmetric functions introduced by Ellis and Khovanov as the space of skew polynomials fixed by a natural action of the Hecke algebra at q=-1. This allows us to define graded modules over the Hecke algebra at q=-1 that are `odd'
Aaron D. Lauda, Adin, Bernstein, Biagioli, Brundan, Brundan, Cautis, Chen, Chuang, De Concini, Dipper, Dipper, Ellis, Ellis, Ellis, Frenkel, Garsia, Heather M. Russell, Hotta, James, Kang, Kang, Kang, Khovanov, Khovanov, Kleshchev, Lauda, Lauda, Lauda, Lipshitz, Mathas, Mbirika, Mbirika, Murphy, Ozsváth, Ram, Shumakovitch, Springer, Stroppel, Stroppel, Tanisaki, Thibon, Wang, Wang   +43 more
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∗ - Skew Polynomial Rings

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

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, B. Feigin, C. Concini De, F. Malikov, F.G. Malikov, Feodor Malikov, G. Gasper, G. Lusztig, I.B. Frenkel, I.M. Gelfand, I.M. Gelfand, J. Lepowski, J.C. McConnell, K. Amoto, Kenji Iohara, M. Wakomoto, P. Bouwknegt, P. Bouwknegt, P. Furlan, V.G. Kac, V.G. Kac   +20 more
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