Results 11 to 20 of about 32,538 (166)
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 +2 more
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The Ring Homomorphisms of Matrix Rings over Skew Generalized Power Series Rings
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
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ON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS [PDF]
Journal of Algebraic Systems, 2015 Let $alpha$ be an automorphism of a ring $R$. The authors [On skewinverse Laurent-serieswise Armendariz rings, Comm. Algebra 40(1)(2012) 138-156] applied the concept of Armendariz rings to inverseskew Laurent series rings and introduced skew ...
Mohammad Habibi
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Directed zero-divisor graph and skew power series rings [PDF]
Transactions on Combinatorics, 2018 Let $R$ be an associative ring with identity and $Z^{\ast}(R)$ be its set of non-zero zero-divisors. Zero-divisor graphs of rings are well represented in the literature of commutative and non-commutative rings. The directed zero-divisor graph of $R$
Ebrahim Hashemi +2 more
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On the Compositum of Two Power Series Rings [PDF]
Proceedings of the American Mathematical Society, 1991 This paper concerns subrings of the bivariate power series ring over a field.
Abhyankar, Shreeram S. +2 more
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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 +2 more
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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
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On reduced archimedean skew power series rings [PDF]
Journal of Algebra and Its Applications, 2020 In this paper, we prove that if [Formula: see text] is an Archimedean reduced ring and satisfy ACC on annihilators, then [Formula: see text] is also an Archimedean reduced ring. More generally, we prove that if [Formula: see text] is a right Archimedean ring satisfying the ACC on annihilators and [Formula: see text] is a rigid automorphism of [Formula:
Mousavi, Hamed +2 more
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On the Optimal Design of Steel Shells with Technological Constraints
Applied Sciences, 2022 This paper is concerned with determining the optimum conditions of steel cylindrical shells with technological limitations and one behavioral constraint, related to a specific constitutive law for limiting load-carrying capacity.
Dragana Turnić +4 more
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An intermediate ring between a polynomial ring and a power series ring
Colloquium Mathematicum, 2013 Let R[x] and R[[x]] respectively denote the ring of polynomials and the ring of power series in one indeterminate x over a ring R. For an ideal I of R, denote by [R; I)[x] the following subring of R[[x]]:
Kosan, M. Tamer +2 more
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