Results 111 to 120 of about 11,627 (129)

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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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.
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Extended Centroids of Skew Polynomial Rings

Canadian Mathematical Bulletin, 1985
AbstractLet 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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Skew π-Baer polynomial rings

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, Ahmad Moussavi, Shervin Sahebi   +2 more
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Kötter interpolation in skew polynomial rings

Designs, Codes and Cryptography, 2013
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Manganiello Felice, Liu Siyu, Kschischang Frank   +2 more
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Nilpotent Elements and Skew Polynomial Rings

Algebra Colloquium, 2012
We 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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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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