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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

MATRIKS ATAS RING DERET PANGKAT TERGENERALISASI MIRING

Barekeng, 2021
Let R be a ring with unit elements,  strictly ordered monoids, and  a monoid homomorphism. Formed , which is a set of all functions from S to R with  are Artin and narrow.
Siti Rugayah, Ahmad Faisol, Fitriani Fitriani   +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

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

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

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