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Simple semigroup graded rings [PDF]
Journal of Algebra and Its Applications, 2015 We show that if R is a, not necessarily unital, ring graded by a semigroup G equipped with an idempotent e such that G is cancellative at e, the nonzero elements of eGe form a hypercentral group and Re has a nonzero idempotent f, then R is simple if and only if it is graded simple and the center of the corner subring f ReGe f is a field.
Nystedt, Patrik, Öinert, Johan
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Neutrosophic LA-Semigroup Rings [PDF]
Neutrosophic Sets and Systems, 2015 Neutrosophic LA-semigroup is a midway structure between a neutrosophic groupoid and a commutative neutrosophic semigroup. Rings are the old concept in algebraic structures.
Mumtaz Ali +3 more
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On Semigroup Rings which are Marot Rings
Revista Integración, 1991 .
W. S. Vasantha Kajidasany
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Shellability of semigroup rings [PDF]
Nagoya Mathematical Journal, 2002 AbstractThe concepts of Λ-shellability of locally finite posets as well as of extendable sequentially Koszul algebras will be introduced. It will be proved that the divisor poset of a homogeneous semigroup ring is Λ-shellable if and only if the semigroup ring is extendable sequentially Koszul.
Annetta Aramova +2 more
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Journal of the Australian Mathematical Society, 1975 A subsetSof a ringRis a left semigroup ideal ofRifRS⊈ R, and a left ring ideal ofRif in additionSis a subring ofR. Gluskin (1960) investigated those rings with 1 which possess the property: (λ) every left semigroup ideal is a left ring ideal.
J. Cresp, R. P. Sullivan
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Torsion-Free Abelian Semigroup Rings, V
Mathematical journal of Ibaraki University, 1979 This is a continuation of the previous part VII in this series [ibid. 23, 1-8 (1991; Zbl 0756.13012)]. This paper concerns properties of a semigroup ring \(A[X;S]\) of a commutative semigroup \(S\) over a commutative ring \(A\). The first part generalizes and solves some problems of Karpilovsky about the unit group of \(A[X;S]\).
Ryûki Matsuda
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On Ideals in Partially Ordered Ternary Semigroups
Ratio Mathematica, 2023 The concept of ideals has been extensively studied through various algebraic structures such as near-rings, involution rings, regular rings, gamma-rings, semigroups, ordered semigroups, ternary semigroups and ordered ternary semigroups.
Dattatray Nabajirao Shinde +1 more
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Semiprimeness of semigroup algebras
Open Mathematics, 2021 Abundant semigroups originate from p.p. rings and are generalizations of regular semigroups. The main aim of this paper is to study the primeness and the primitivity of abundant semigroup algebras.
Guo Junying, Guo Xiaojiang
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On semisimple semigroup rings [PDF]
Proceedings of the American Mathematical Society, 1980 Let π \pi be a property of rings that satisfies the conditions that (i) homomorphic images of π \pi -rings are π \pi -rings and (ii) ideals of π \pi -rings are π \pi -rings.
Teply, Mark L. +2 more
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Bifurcus semigroups and rings [PDF]
Involve, a Journal of Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adams, Donald +6 more
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