Results 11 to 20 of about 9,360 (253)

LEFT APP-RINGS OF SKEW GENERALIZED POWER SERIES [PDF]

Journal of Algebra and Its Applications, 2011
A ring R is called a left APP-ring if the left annihilator lR(Ra) is right s-unital as an ideal of R for any a ∈ R. Let R be a ring, (S, ≤) be a commutative strictly ordered monoid and ω: S → End (R) be a monoid homomorphism. The skew generalized power series ring [[RS, ≤, ω]] is a common generalization of (skew) polynomial rings, (skew) power series ...
RENYU ZHAO
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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
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A STUDY OF DERIVATIONS AND LINEAR MAPPINGS ON SKEW GENERALIZED POWER SERIES MODULES

Barekeng
This paper investigates the structure of skew generalized power series modules over skew generalized power series rings, emphasizing the extension of derivations in this context. We define and study additive mappings that generalize classical derivations
Ahmad Faisol, Fitriani Fitriani
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On t-closedness of generalized power series rings

Journal of Pure and Applied Algebra, 2002
Let \(A\subset B\) be an extension of commutative rings. We say that \(A\) is \(t\)-closed in \(B\) if, whenever \(b^2-ab\), \(b^3-ab^2\in A\) for \(a\in A\) and \(b\in B\), then \(b\in A\). We say that property \({\mathcal P}_1(A,B)\) holds if, whenever \(ab\in A\) for \(a\in A\) and \(b\in B\), then \(ab^2\in A\).
Hwankoo Kim, Kim, Hwankoo
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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
A. R. NASR-ISFAHANI, Nasr-Isfahani, Alireza   +1 more
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On zip and weak zip rings of skew generalized power series

Journal of the Egyptian Mathematical Society, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salem, R.M.
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On n-root closedness of generalized power series rings over pairs of rings

Journal of Pure and Applied Algebra, 1999
This paper deals with \(n\)-root closedness of generalized power series rings (as defined by P. Ribenboim), thus generalizing previous results on classical power series rings by \textit{D. F. Anderson, D. E. Dobbs} and \textit{M. Roitman} [J. Pure Appl. Algebra 114, No. 2, 111-131 (1997; Zbl 0926.13012)].
Zhongkui, Liu, Liu Zhongkui
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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.
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Generalized Baеr and Generalized Quasi-Baеr Properties of Skеw 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 generalized Baer and generalized quasi-Baer rings are generalization of Baer and quasi ...
Refaat Salem, Ramy Abdel-Khalek, Mostafa Hamam   +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 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   +1 more source