Results 231 to 240 of about 3,987 (248)

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

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 ...
openaire   +2 more sources

Ps-rings of generalized power series

Communications in Algebra, 1998
Lin Zhongkui, Li Fang
openaire   +1 more source

Nilpotent Elements and Nil-Reflexive Property of Generalized Power Series Rings

Advances in Pure Mathematics, 2022
Eltiyeb Ali
exaly  

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
openaire   +1 more source

Root extension of generalized power series rings

Communications in Algebra, 2023
openaire   +1 more source

Weak dimension and right distributivity of skew generalized power series rings

Journal of the Mathematical Society of Japan, 2010
Ryszard Mazurek, Michał Ziembowski
exaly  

Some characterizations of 2-primal skew generalized power series rings

Communications in Algebra, 2020
Kamal Paykan, A Moussavi
exaly  

Bounded Factorization and the Ascending Chain Condition on Principal Ideals in Generalized Power Series Rings

2023
Christopher Park Mooney
exaly  

The Ascending Chain Condition for Principal Ideals of Rings of Generalized Power Series

Communications in Algebra, 2004
Liu Zhongkui
exaly