Results 151 to 160 of about 183 (174)

Generalized Power Series Rings

1990
Let R be a commutative ring, with unit element 1. Let S be a commutative monoid written multiplicatively (except when written additively...); thus, S is a semigroup with unit element, also denoted 1. We assume that S is endowed with a compatible strict order relation ≤, which is not necessarily a total order.
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Triangular Matrix Representations of Rings of Generalized Power Series

Acta Mathematica Sinica, English Series, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Rings of generalized power series: Nilpotent elements

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1991
The author studies the set \(A\) of generalized power series, with coefficients in a commutative ring and exponents in an ordered commutative monoid. \(A\) is a commutative ring with pointwise addition and natural convolution. Particular cases are polynomial rings over semigroups, formal power series on finite or infinite variables.
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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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Ps-rings of generalized power series

Communications in Algebra, 1998
Lin Zhongkui, Li Fang
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Nilpotent Elements and Nil-Reflexive Property of Generalized Power Series Rings

Advances in Pure Mathematics, 2022
Eltiyeb Ali
exaly  

Root extension of generalized power series rings

Communications in Algebra, 2023
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EXTENSIONS OF GM-RINGS OVER GENERALIZED POWER SERIES RINGS

2007
Let R be a reduced ring, (S, ≤) a cancellative torsion-free strictly ordered monoid, it is shown that ring [[RS,≤]] is a GM− ring if and only if R is a GM−ring. We also investigate GM− rings for some special Morita Contexts and module extensions over generalized power series rings.
Ouyang, Lunqun, Liu, Dayong
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