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Separable polynomials in skew polynomials rings
2019Separable 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
2002In 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, 2017A 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
2016Let 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 ScienceszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Skew Polynimials and Jacobson Rings
Proceedings of the London Mathematical Society, 1981Pearson, K. R. +2 more
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