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PS-Modules over Ore Extensions and Skew Generalized Power Series Rings [PDF]

International Journal of Mathematics and Mathematical Sciences, 2015
A right R-module MR is called a PS-module if its socle, SocMR, is projective. We investigate PS-modules over Ore extension and skew generalized power series extension.
Refaat M. Salem, Mohamed A. Farahat, Hanan Abd-Elmalk   +2 more
doaj   +3 more sources

Uniserial rings of skew generalized power series

Journal of Algebra, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R Mazurek
exaly   +4 more sources

Endo-Noetherian Skew Generalized Power Series Rings [PDF]

Assiut University Journal of Multidisciplinary Scientific Research, 2023
Endo-Noetherian modules were introduced by A. Kaidi and E. Sanchez] as a generalization of Noetherian modules. A left Ɍ-module M which satisfies the ascending chain condition for endomorphic kernels is said to be endo-Noetherian.
Ramy Abdel-Khaleq, Refaat Salem, Neamat Mohamed   +2 more
doaj   +2 more sources

The Ring Homomorphisms of Matrix Rings over Skew Generalized Power Series Rings [PDF]

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2021
Let  M_n (R_1 [[S_1,≤_1,ω_1]]) and M_n (R_2 [[S_2,≤_2,ω_2]]) be a matrix rings over skew generalized power series rings, where R_1,R_2 are commutative rings with an identity element, (S_1,≤_1 ),(S_2,≤_2 ) are strictly ordered monoids, ω_1:S_1→End(R_1 ),〖
Ahmad Faisol, Fitriani Fitriani
doaj   +2 more sources

Zero-divisor graphs of twisted partial skew generalized power series rings [PDF]

Arab Journal of Mathematical Sciences, 2022
Purpose – The aim of this paper is to investigate the relationship between the ring structure of the twisted partial skew generalized power series ring RG,≤;Θ and the corresponding structure of its zero-divisor graph Γ̅RG,≤;Θ. Design/methodology/approach
Mohammed H. Fahmy, Ahmed Ageeb Elokl, Ramy Abdel-Khalek   +2 more
doaj   +3 more sources

Skew Generalized Power Series Rings and the McCoy Property

Taiwanese Journal of Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masoome Zahiri, Abdollah Alhevaz
exaly   +4 more sources

Some Results on Skew Generalized Power Series Rings

Taiwanese Journal of Mathematics, 2017
Let $R$ be a ring, $(S,\leq)$ a strictly ordered monoid and $\omega \colon S \to \operatorname{End}(R)$ a monoid homomorphism. The skew generalized power series ring $R[[S,\omega]]$ 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 ...
Kamal Paykan, A Moussavi
exaly   +3 more sources

Semi-Baer and Semi-Quasi Baer Properties of Skew Generalized Power Series Rings [PDF]

Assiut University Journal of Multidisciplinary Scientific Research
Let R be a ring with identity, (S,≤) an ordered monoid, ω:S→End(R) a monoid homomorphism, and A=R[[S,ω]] the ring of skew generalized power series. The concepts of semi-Baer and semi-quasi Baer rings were introduced by Waphare and Khairnar as extensions ...
Mostafa Hamam, Ramy Abdel-Khaleq, Refaat Salem   +2 more
doaj   +2 more sources

ZERO DIVISOR GRAPHS OF SKEW GENERALIZED POWER SERIES RINGS

Communications of the Korean Mathematical Society, 2015
Let R be a ring, (S, ) a strictly ordered monoid and ! : S ! End(R) a monoid homomorphism. The skew generalized power se- ries ring R((S,!)) 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, Kamal Paykan
exaly   +3 more sources

PF-rings of skew generalized power series

Tbilisi Mathematical Journal, 2011
Let $R$ be a ring which is $S$-compatible and $(S,\omega)$-Armendariz. In this paper, we investigate that the skew generalized power series ring $R[[S,\omega]]$ is a PF-ring if and only if for any two $S$-indexed subsets $P$ and $Q$ of $R$ such that $Q \subseteq ann_R (P)$ and there exists $a\in ann_R (P)$ such that $q a=q$ for all $q \in Q$.
exaly   +3 more sources