Results 231 to 240 of about 42,411 (276)

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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An algorithmic proof of the coherence of the ring of polynomial ordinary integro-differential operators

Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation
Bavula proved that the ring \({\mathbb {I}}_1\) of polynomial ordinary integro-differential operators over a field \(\mathbb {k}\) of characteristic zero is coherent in the sense that the left/right kernel of any rectangular matrix with entries in ...
T. Cluzeau, Camille Pinto, Alban Quadrat
semanticscholar   +1 more source

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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CENTER OF THE SKEW POLYNOMIAL RING OVER TRINION MATRIX

, 2020
A. K. Amir, N. Erawaty, M. Bahri, Aidah Nabilah Anwar   +3 more
semanticscholar   +1 more source