Results 221 to 230 of about 19,413 (252)

Bezout rings and skew polynomials

Russian Mathematical Surveys, 2001
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Radicals of Skew Polynomial and Skew Laurent Polynomial Rings Over Skew Armendariz Rings

Communications in Algebra, 2013
In this note we study radicals of skew polynomial ring R[x; α] and skew Laurent polynomial ring R[x, x −1; α], for a skew-Armendariz ring R. In particular, among the other results, we show that for an skew-Armendariz ring R, J(R[x; α]) = N 0(R[x; α]) = Nil*(R)[x; α] and J(R[x, x −1; α]) = N 0(R[x, x −1; α]) = Nil*(R)[x, x −1; α].
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Real Valuations on Skew Polynomial Rings

Algebras and Representation Theory, 2013
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Granja, Ángel, Martínez, Ma. Carmen, Rodríguez, Cristina   +2 more
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Canonical forms of skew polynomial rings

Journal of Mathematical Sciences, 2005
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Separable polynomials in skew polynomials rings

2019
Separable polynomials in skew polynomial rings have already been studied by K. Kishimoto, T. Nagahara, Y. Miyashita, S. Ikehata, and G. Szeto. In particular, Nagaraha gave the necessary and sufficient condition for Galois polynomial of degree 2 in the skew polynomial ring of derivation type. In this paper, we shall introduce some fundamental results of
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Skew Polynomial Rings Satisfying a Polynomial Identity

2002
In this short appendix, we prove a result of Jondrup on the PI degree of skew polynomial algebras in characteristic 0, and illustrate its relevance in the settings of interest in these notes. Exceptionally, we make use in this section of a few lemmas from Part II.
Ken A. Brown, Ken R. Goodearl
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Cancellation in skew polynomial rings

Communications in Algebra, 2017
A well known cancellation result in commutative algebra states that if B[x]≅K[x1,x2] then B≅K[x1], where B is an algebra over a field K of characteristic 0.
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Radicals of skew polynomial rings and skew Laurent polynomial rings

2016
Let K be a ring, \(\rho\) an automorphism of K, and D a derivation of K. We denote by K[X;\(\rho\) ] (resp. \(K\), resp. K[X;D]) the skew polynomial ring of automorphism type (resp. skew Laurent polynomial ring; resp. skew polynomial ring of derivation type) over K. In [\textit{S. S. Bedi}, \textit{J. Ram}, Isr. J. Math.
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Isomorphism between skew polynomial rings

São Paulo Journal of Mathematical Sciences
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Skew polynomial rings

2004
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