Results 191 to 200 of about 314 (211)

Special Properties of Rings of Skew Generalized Power Series

Communications in Algebra, 2014
Let R be a ring, S a strictly ordered monoid, and ω: S → End(R) a monoid homomorphism. In [30], Marks, Mazurek, and Ziembowski study the (S, ω)-Armendariz condition on R, a generalization of the standard Armendariz condition from polynomials to skew generalized power series.
A Moussavi
exaly   +2 more sources

On Von Neumann Regular Rings of Skew Generalized Power Series

Communications in Algebra, 2008
In this paper we introduce a construction called the skew generalized power series ring R[[S, ω]] with coefficients in a ring R and exponents in a strictly ordered monoid S which extends Ribenboim's construction of generalized power series rings. In the case when S is totally ordered or commutative aperiodic, and ω(s) is constant on idempotents for ...
R. Mazurek, M. Ziembowski
exaly   +2 more sources

Baer and Quasi-Baer Properties of Skew Generalized Power Series Rings

Communications in Algebra, 2016
Let R be a ring, (S, ≤) a strictly ordered monoid and ω: S → End(R) a monoid homomorphism. The skew generalized power series ring R[[S, ω]] is a common generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomial rings, (skew) group rings, and Mal'cev–Neumann Laurent series rings.
A Moussavi
exaly   +2 more sources

THE IMPACT OF THE MONOID HOMOMORPHISM ON THE STRUCTURE OF SKEW GENERALIZED POWER SERIES RINGS

Far East Journal of Mathematical Sciences (FJMS), 2018
Ahmad Faisol, Budi Surodjo, Sri Wahyuni
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Weakly principally quasi-Baer skew generalized power series rings

Applicable Algebra in Engineering, Communication and Computing, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Majidinya, Ahmad Moussavi
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An Alternative Perspective on Skew Generalized Power Series Rings

Mediterranean Journal of Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alhevaz, Abdollah, Hashemi, Ebrahim
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Triangulating dimension of skew generalized power series rings

Journal of Algebra and Its Applications, 2021
Let [Formula: see text] be a ring, [Formula: see text] a strictly ordered monoid and [Formula: see text] a monoid homomorphism. In this paper, we investigate the problem when a skew generalized power series ring [Formula: see text] has the same triangulating dimension as the ring [Formula: see text].
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RADICALS OF SKEW GENERALIZED POWER SERIES RINGS

Journal of Algebra and Its Applications, 2012
Let R be a ring, (S, ≤) a strictly ordered monoid and ω : S → End (R) a monoid homomorphism. In this note for a (S, ω)-Armendariz ring R we study some properties of skew generalized power series ring R[[S, ω]]. In particular, among other results, we show that for a S-compatible (S, ω)-Armendariz ring R, α(R[[S, ω]]) = α(R)[[S, ω]] = Ni ℓ*(R)[[S, ω ...
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ON NIL SKEW GENERALIZED POWER SERIES REFLEXIVE RINGS

Advances in Mathematics: Scientific Journal, 2023
Let $R$ be a ring and $(S, \leq)$ a strictly ordered monoid. In this paper, we deal with a new approaches to reflexive property for rings by using nilpotent elements. In this direction we introduce the notions of $(S, \omega)$-reflexive and $(S, \omega)$-$nil$-reflexive.
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Rota–Baxter operators on skew generalized power series rings

Journal of Algebra and Its Applications, 2014
Let R be a ring, S a strictly ordered monoid, and ω : S → End (R) a monoid homomorphism. The skew generalized power series ring R[[S, ω]] is a common generalization of (skew) polynomial rings, (skew) Laurent polynomial rings, (skew) power series rings, (skew) Laurent series rings, (skew) monoid rings, (skew) Mal'cev–Neumann series rings, and ...
openaire   +2 more sources