Results 201 to 210 of about 431 (234)

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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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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Factoring in skew-polynomial rings

2005
Efficient algorithms are presented for factoring polynomials in the skew-polynomial ring K[x; σ], a non-commutative generalization of the usual ring of polynomials K[x], where K is a finite field and σ: K → K is an automorphism. Applications include fast functional decomposition algorithms for a class of polynomials in K[x] whose decompositions are ...
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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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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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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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Descriptions of radicals of skew polynomial and skew Laurent polynomial rings

Journal of Pure and Applied Algebra, 2019
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Hong, Chan Yong, Kim, Nam Kyun
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Distributive skew Laurent polynomial rings

Journal of Mathematical Sciences, 2012
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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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Canonical forms of skew polynomial rings

Journal of Mathematical Sciences, 2005
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