Results 31 to 40 of about 42,411 (276)
(β, γ)-Skew QC Codes with Derivation over a Semi-Local Ring
Symmetry, 2023 In this article, we consider a semi-local ring S=Fq+uFq, where u2=u, q=ps and p is a prime number. We define a multiplication yb=β(b)y+γ(b), where β is an automorphism and γ is a β-derivation on S so that S[y;β,γ] becomes a non-commutative ring which is ...
M. Ashraf +3 more
semanticscholar +1 more source
The Norm of a Skew Polynomial [PDF]
Algebras and Representation Theory, 2020 Let D be a finite-dimensional division algebra over its center and R = D[t;σ,δ] a skew polynomial ring. Under certain assumptions on δ and σ, the ring of central quotients D(t;σ,δ) = {f/g|f ∈ D[t;σ,δ],g ∈ C(D[t;σ,δ])} of D[t;σ,δ] is a central simple ...
S. Pumplün, D. Thompson
semanticscholar +1 more source
Prime Ideals and Strongly Prime Ideals of Skew Laurent Polynomial Rings
International Journal of Mathematics and Mathematical Sciences, 2008 We first study connections between α-compatible ideals of R and related ideals of the skew Laurent polynomials ring R[x,x−1;α], where α is an automorphism of R.
E. Hashemi
doaj +1 more source
Some Notes on Semiabelian Rings
International Journal of Mathematics and Mathematical Sciences, 2011 It is proved that if a ring R is semiabelian, then so is the skew polynomial ring R[x;σ], where σ is an endomorphism of R satisfying σ(e)=e for all e∈E(R). Some characterizations and properties of semiabelian rings are studied.
Junchao Wei, Nanjie Li
doaj +1 more source
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 +43 more
core +3 more sources
Nilpotent Elements in Skew Polynomial Rings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2017 Letbe a ring with an endomorphism and an -derivationAntoine studied the structure of the set of nilpotent elements in Armendariz rings and introduced nil-Armendariz rings.
M. Azimi, A. Moussavi
doaj
Twisted vertex operators and unitary Lie algebras [PDF]
, 2014 A representation of the central extension of the unitary Lie algebra coordinated with a skew Laurent polynomial ring is constructed using vertex operators over an integral Z_2-lattice.
Chen, Fulin +3 more
core +1 more source
On weakly separable polynomials and weakly quasi-separable polynomials over rings [PDF]
, 2016 Separable extensions of noncommutative rings have already been studied extensively. Recently, N. Hamaguchi and A. Nakajima introduced the notions of weakly separable extensions and weakly quasiseparable extensions.
Yamanaka, Satoshi
core +1 more source
A Matrix Ring Description for Cyclic Convolutional Codes
, 2007 In this paper, we study convolutional codes with a specific cyclic structure. By definition, these codes are left ideals in a certain skew polynomial ring.
Gluesing-Luerssen, Heide +1 more
core +2 more sources
Derivations of skew polynomial rings
Publications de l'Institut Mathematique, 2002 Let \(R\) be a commutative ring of characteristic zero, \(d_1,d_2,\dots,d_n\) commuting derivations of \(R\), and \(A_n=R[X_1,X_2,\dots,X_n;d_1,d_2,\dots,d_n]\) a skew polynomial ring in commuting variables \(X_1,X_2,\dots,X_n\) over \(R\). The authors describe derivations of \(A_n\) and examine the lattice of its ideals, under certain conditions.
Hamaguchi, Naoki, Nakajima, Atsushi
openaire +3 more sources