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Azumaya Algebras and Skew Polynomial Rings (Skew Polynomial Rings, Group Rings and Related Topics)
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Radicals in skew polynomial and skew Laurent polynomial rings
Journal of Pure and Applied Algebra, 2014It 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 +2 more
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Distributive skew Laurent polynomial rings
Journal of Mathematical Sciences, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Primitivity of skew polynomial and skew laurent polynomial rings
Communications in Algebra, 1996Let 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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ON WEAK ZIP SKEW POLYNOMIAL RINGS
Asian-European Journal of Mathematics, 2012We 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.
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Extended Centroids of Skew Polynomial Rings
Canadian Mathematical Bulletin, 1985AbstractLet R be a prime ring with σ ∊ Aut (R). We determine the extended centroid of the skew polynomial ring R[x, σ] when (i) 〈σ〉 is X-outer of finite order, (ii) 〈σ〉 is X-outer and infinite, (iii) σm is X-inner and no smaller power of σ fixes the extended centroid of R.
Rosen, Jerry D., Rosen, Mary Peles
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Asian-European Journal of Mathematics
A ring [Formula: see text] with an automorphism [Formula: see text] and a [Formula: see text]-derivation [Formula: see text] is called [Formula: see text]-[Formula: see text]-Baer (respectively [Formula: see text]-Baer) if the right annihilator of every projection invariant [Formula: see text]-left ideal (respectively left ideal) of [Formula: see text]
Somaye Mehralinejadian +2 more
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A ring [Formula: see text] with an automorphism [Formula: see text] and a [Formula: see text]-derivation [Formula: see text] is called [Formula: see text]-[Formula: see text]-Baer (respectively [Formula: see text]-Baer) if the right annihilator of every projection invariant [Formula: see text]-left ideal (respectively left ideal) of [Formula: see text]
Somaye Mehralinejadian +2 more
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Kötter interpolation in skew polynomial rings
Designs, Codes and Cryptography, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manganiello Felice +2 more
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Nilpotent Elements and Skew Polynomial Rings
Algebra Colloquium, 2012We study the structure of the set of nilpotent elements in extended semicommutative rings and introduce nil α-semicommutative rings as a generalization. We resolve the structure of nil α-semicommutative rings and obtain various necessary or sufficient conditions for a ring to be nil α-semicommutative, unifying and generalizing a number of known ...
Alhevaz, A., Moussavi, A., Hashemi, E.
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