Results 221 to 230 of about 42,411 (276)

COMPLETELY PRIME ONE-SIDED IDEALS IN SKEW POLYNOMIAL RINGS

Glasgow Mathematical Journal, 2021
Let R = K[x, σ] be the skew polynomial ring over a field K, where σ is an automorphism of K of finite order. We show that prime elements in R correspond to completely prime one-sided ideals – a notion introduced by Reyes in 2010. This extends the natural
Gil Alon, E. Paran
semanticscholar   +1 more source

CENTER OF THE SKEW POLYNOMIAL RING OVER COQUATERNIONS

Far East Journal of Mathematical Sciences (FJMS), 2017
We determine the center of a skew polynomial ring over quaternions.
A. K. Amir
semanticscholar   +1 more source

Generalized skew-derivations acting on multilinear polynomial in prime rings

Communications in Algebra, 2023
Let R be a noncommutative prime ring of characteristic different from 2, Qr be the right Martindale quotient ring of R and C=Z(Qr) be the extended centroid of R.
Pallavee Gupta, V. De Filippis, S. Tiwari   +2 more
semanticscholar   +1 more source

Radicals in skew polynomial and skew Laurent polynomial rings

Journal of Pure and Applied Algebra, 2014
It is well known that classical radicals and some radical-like ideals of skew polynomial and skew Laurent polynomial rings are determined in a regular way by specified ideals of the coefficient ring. However, a detailed description of these coefficient ideals is far from easy.
Hong, Chan Yong, Kim, Nam Kyun, Nielsen, Pace P.   +2 more
openaire   +2 more sources

Quotients of skew polynomial rings: new constructions of division algebras and MRD codes

Journal of Algebra
We achieve new results on skew polynomial rings and their quotients, including the first explicit example of a skew polynomial ring where the ratio of the degree of a skew polynomial to the degree of its bound is not extremal.
F. J. Lobillo, P. Santonastaso, John Sheekey   +2 more
semanticscholar   +1 more source

Distributive skew Laurent polynomial rings

Journal of Mathematical Sciences, 2012
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Primitivity of skew polynomial and skew laurent polynomial rings

Communications in Algebra, 1996
Let R be a noetherian P.I. ring and S an automorphism of R. Necessary and sufficient conditions for the primitivity of the skew Laurent polynomial ring R[t;t-1S] and the skew polynomial ring R[t,S] are given.
André Leroy, Jerzy Matczuk
openaire   +1 more source

Semigroup action based on skew polynomial evaluation with applications to Cryptography

arXiv.org
Through this work we introduce an action of the skew polynomial ring $\mathbb{F}_{q}\left[X; \sigma, \delta\right]$ over $\mathbb{F}_{q}$ based on its polynomial valuation and the concept of left skew product of functions.
Daniel Camazón Portela, Juan Antonio L'opez-Ramos   +1 more
semanticscholar   +1 more source

ON WEAK ZIP SKEW POLYNOMIAL RINGS

Asian-European Journal of Mathematics, 2012
We introduce the notion of nil(α, δ)-compatible rings which is a generalization of reduced rings and (α, δ)-compatible rings. In [Ore extensions of weak zip rings, Glasgow Math. J.51 (2009) 525–537] Ouyang introduces the notion of right (respectively, left) weak zip rings and proved that, a ring R is right (respectively, left) weak zip if and only if ...
Mohammadi, R., Moussavi, A., Zahiri, M.
openaire   +2 more sources

Skew generalized quasi-cyclic codes over non-chain ring Fq+vFq

arXiv.org
For a prime $p$, let $F_q$ be the finite field of order $q= p^d$. This paper presents the study on skew generalized quasi-cyclic (SGQC) codes of length $n$ over the non-chain ring $F_q+vF_q$ where $v^2=v$ and $\theta_t$ is the Galois automorphism.
Kundan Suxena, Indibar Debnath, Om Prakash   +2 more
semanticscholar   +1 more source