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Radicals of skew polynomial rings and skew Laurent polynomial rings

Radicals of skew polynomial rings and skew Laurent polynomial rings
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On Separable Polynomials and Skew Polynomial Rings (Skew Polynomial Rings, Group Rings and Related Topics)

On Separable Polynomials and Skew Polynomial Rings (Skew Polynomial Rings, Group Rings and Related Topics)
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Prime Ideals of Skew Polynomial Rings and Skew Laurent Polynomial Rings

Prime Ideals of Skew Polynomial Rings and Skew Laurent Polynomial Rings
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Azumaya Algebras and Skew Polynomial Rings (Skew Polynomial Rings, Group Rings and Related Topics)

Azumaya Algebras and Skew Polynomial Rings (Skew Polynomial Rings, Group Rings and Related Topics)
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The McCoy Condition on Skew Polynomial Rings

Communications in Algebra, 2009
Based on a theorem of McCoy on commutative rings, Nielsen called a ring R right McCoy if, for any nonzero polynomials f(x), g(x) over R, f(x)g(x) = 0 implies f(x)r = 0 for some 0 ≠ r ∊ R. In this note, we consider a skew version of these rings, called σ-skew McCoy rings, with respect to a ring endomorphism σ.
Muhittin Baser, Tai Keun Kwak, Yang Lee   +2 more
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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
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Kötter interpolation in skew polynomial rings

Designs, Codes and Cryptography, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Siyu Liu 0007, Felice Manganiello, Frank R. Kschischang   +2 more
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Bezout rings and skew polynomials

Russian Mathematical Surveys, 2001
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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
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Radicals of skew polynomial rings and skew Laurent polynomial rings

Mathematical Journal of Okayama University, 1987
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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