Results 101 to 110 of about 387 (117)

An Alternative Perspective on Skew Generalized Power Series Rings

Mediterranean Journal of Mathematics, 2016
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Alhevaz, Abdollah, Hashemi, Ebrahim
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On app skew generalized power series rings

Studia Scientiarum Mathematicarum Hungarica, 2013
By [12], a ring R is left APP if R has the property that “the left annihilator of a principal ideal is pure as a left ideal”. Equivalently, R is a left APP-ring if R modulo the left annihilator of any principal left ideal is flat. Let R be a ring, (S, ≦) a strictly totally ordered commutative monoid and ω: S → End(R) a monoid homomorphism.
A. Majidinya, A. Moussavi
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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 ...
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TRIANGULAR MATRIX REPRESENTATION OF SKEW GENERALIZED POWER SERIES RINGS

Asian-European Journal of Mathematics, 2012
Let R be a ring, (S, ≤) a strictly ordered monoid and ω : S → End (R) a monoid homomorphism. In this paper, we study the triangular matrix representation of skew generalized power series ring R[[S, ω]] which is a compact generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomials rings, (skew) Laurent power series ...
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McCoy property and nilpotent elements of skew generalized power series rings

Journal of Algebra and Its Applications, 2017
Let [Formula: see text] be a ring, [Formula: see text] a strictly ordered monoid and [Formula: see text] a monoid homomorphism. The skew generalized power series ring [Formula: see text] is a common generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomial rings, (skew) group rings, and Mal’cev–Neumann Laurent ...
Paykan, Kamal, Moussavi, Ahmad
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Semiprimeness, quasi-Baerness and prime radical of skew generalized power series rings

Communications in Algebra, 2016
ABSTRACTLet 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.
Kamal Paykan, Ahmad Moussavi
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Nilpotent elements and nil-Armendariz property of skew generalized power series rings

Asian-European Journal of Mathematics, 2016
Let [Formula: see text] be a ring, [Formula: see text] a strictly ordered monoid, and [Formula: see text] a monoid homomorphism. The skew generalized power series ring [Formula: see text] is a common generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomial rings, (skew) group rings, and Mal’cev–Neumann Laurent ...
Paykan, Kamal, Moussavi, Ahmad
openaire   +1 more source