Results 11 to 20 of about 9,861,726 (254)
Generalized Baеr and Generalized Quasi-Baеr Properties of Skеw Generalized Power Series Rings [PDF]
Assiut University Journal of Multidisciplinary Scientific ResearchLet 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 generalized Baer and generalized quasi-Baer rings are generalization of Baer and quasi ...
Refaat Salem +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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Semi-Baer and Semi-Quasi Baer Properties of Skew Generalized Power Series Rings [PDF]
Assiut University Journal of Multidisciplinary Scientific ResearchLet 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 +2 more
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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 +2 more
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Skew generalized power series rings with the McCoy property [PDF]
Georgian Mathematical JournalAbstract Let R be a ring, ( S , ⪯ )
Peter Danchev +2 more
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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.
Zhongkui Liu
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REVERSIBLE SKEW GENERALIZED POWER SERIES RINGS [PDF]
Bulletin of the Australian Mathematical Society, 2011 AbstractIn this note we show that there exist a semiprime ring R, a strictly ordered artinian, narrow, unique product monoid (S,≤) and a monoid homomorphism ω:S⟶End(R) such that the skew generalized power series ring R[[S,ω]] is semicommutative but R[[S,ω]] is not reversible. This answers a question posed in Marks et al. [‘A unified approach to various
Alireza Nasr‐Isfahani
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Skew Generalized Power Series Rings and the McCoy Property [PDF]
Taiwanese Journal of Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masoome Zahiri +3 more
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Algebraic properties of rings of generalized power series [PDF]
Annals of Pure and Applied Logic, 2002 eummary: The fields \(K((G))\) of generalized power series with coefficients in a field \(K\) and exponents in an additive Abelian ordered group \(G\) play an important role in the study of real closed fields. The subrings \(K((G^{\leq 0}))\) consisting of series with nonpositive exponents find applications in the study of models of weak axioms for ...
Daniel Pitteloud
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Rota-Baxter operators on generalized power series rings [PDF]
Journal of Algebra and Its Applications, 2007 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.
Li Guo, Zhongkui Liu
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