Results 11 to 20 of about 387 (117)
Journal of Algebra, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ryszard Mazurek, Michał Ziembowski
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On Nilpotent Elements, Weak Symmetry and Related Properties of Skew Generalized Power Series Rings
SymmetryThe skew generalized power series ring R[[S,ω]] is a ring construction involving a ring R, a strictly ordered monoid (S,≤), and a monoid homomorphism ω:S→End(R). The ring R[[S,ω]] is a common generalization of ring extensions such as (skew) polynomial rings, (skew) Laurent polynomial rings, (skew) power series rings, (skew) Laurent series rings, (skew)
Ryszard Mazurek, Mazurek Ryszard
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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 +2 more
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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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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 +1 more
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IDEMPOTENT MATRIX OVER SKEW GENERALIZED POWER SERIES RINGS
Journal of Fundamental Mathematics and Applications (JFMA), 2022 Let $R[[S,\leq,\omega]]$ be a skew generalized power series ring, with $R$ is a ring with an identity element, $(S,\leq)$ a strictly ordered monoid, and $\omega:S\rightarrow End(R)$ a monoid homomorphism. We define the set of all matrices over $R[[S,\leq,\omega]]$, denoted by $M_{n}(R[[S,\leq,\omega]])$.
Ahmad Faisol, Fitriani Fitriani
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A STUDY OF DERIVATIONS AND LINEAR MAPPINGS ON SKEW GENERALIZED POWER SERIES MODULES
BarekengThis 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 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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Weak dimension and right distributivity of skew generalized power series rings
Journal of the Mathematical Society of Japan, 2010 Let \(S\) be a multiplicative monoid (i.e. a semigroup with identity) and let \(\leq\) be an order relation on the set \(S\).
Ryszard Mazurek, Michał Ziembowski
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Generalized Baer and Generalized Quasi-Baer Rings of Skew Generalized Power Series
Let $R$ be a ring with identity, $(S,\leq)$ an ordered monoid, $ω:S \to End(R)$ a monoid homomorphism, and $A= R\left[\left[S,ω\right]\right]$ the ring of skew generalized power series. The concepts of generalized Baer and generalized quasi-Baer rings are generalization of Baer and quasi-Baer rings, respectively.
Hamam, M. M. +2 more
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