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On Bezout and distributive generalized power series rings

Journal of Algebra, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R Mazurek
exaly   +4 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

Noetherian rings of composite generalized power series

Open Mathematics
Let A⊆BA\subseteq B be an extension of commutative rings with identity, (S,≤)\left(S,\le ) a nonzero strictly ordered monoid, and S*=S\{0}{S}^{* }\left=S\backslash \left\{0\right\}.
Oh Dong Yeol
doaj   +3 more sources

The X[[S]]-Sub-Exact Sequence of Generalized Power Series Rings

Al-Jabar, 2020
Let  be a ring,  a strictly ordered monoid, and K, L, M are R-modules. Then, we can construct the Generalized Power Series Modules (GPSM) K[[S]], L[[S]], and M[[S]], which are the module over the Generalized Power Series Rings (GPSR) R[[S]].
Wesly Agustinus Pardede, Ahmad Faisol, Fitriani Fitriani   +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

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   +1 more source

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   +1 more source

Noetherian properties in composite generalized power series rings

Open Mathematics, 2020
Let (Γ,≤)({\mathrm{\Gamma}},\le ) be a strictly ordered monoid, and let Γ⁎=Γ\{0}{{\mathrm{\Gamma}}}^{\ast }\left={\mathrm{\Gamma}}\backslash \{0\}. Let D⊆ED\subseteq E be an extension of commutative rings with identity, and let I be a nonzero proper ...
Lim Jung Wook, Oh Dong Yeol
doaj   +1 more source

ROTA–BAXTER OPERATORS ON GENERALIZED POWER SERIES RINGS [PDF]

Journal of Algebra and Its Applications, 2009
An important instance of Rota–Baxter algebras from their quantum field theory application is the ring of Laurent series with a suitable projection. We view the ring of Laurent series as a special case of generalized power series rings with exponents in an ordered monoid.
Guo, Li, Liu, Zhongkui
openaire   +3 more sources

Baer rings of generalized power series [PDF]

Glasgow Mathematical Journal, 2002
We show that if R is a commutative ring and (S, \leq ) a strictly totally ordered monoid, then the ring [[R^{S, \leq }]] of generalized power series is Baer if and only if R is Baer.
openaire   +2 more sources