Results 131 to 140 of about 9,185 (173)
Twisting of Graded Quantum Groups and Solutions to the Quantum Yang-Baxter Equation. [PDF]
Transform GroupsHuang H +5 more
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Canadian Journal of Mathematics, 1980
Throughout this paper the ring R and the semigroup S are commutative with identity; moreover, it is assumed that S is cancellative, i.e., that S can be embedded in a group. The aim of this note is to determine necessary and sufficient conditions on R and S that the semigroup ring R[S] should be one of the following types of rings: principal ideal ring (
Hardy, Bonnie R., Shores, Thomas S.
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Throughout this paper the ring R and the semigroup S are commutative with identity; moreover, it is assumed that S is cancellative, i.e., that S can be embedded in a group. The aim of this note is to determine necessary and sufficient conditions on R and S that the semigroup ring R[S] should be one of the following types of rings: principal ideal ring (
Hardy, Bonnie R., Shores, Thomas S.
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Artinian Semigroup-Graded Rings
Bulletin of the London Mathematical Society, 1995Let \(S\) be a semigroup with no infinite subgroups and let \(R\) be a right Artinian \(S\)-graded ring. We prove that \(R\) necessarily has finite support.
Clase, M. V. +3 more
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Linearly Compact Semigroup Rings
Semigroup Forum, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Klyushin, A. V., Kozhukhov, I. B.
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Semigroup rings over semiprime ring semigroups
2019We consider semigroup rings over a particular class of semigroups: those semigroups which arise as the multiplicative semigroup of a ring.
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Technique of semigroup ring theory: Regular semigroup rings
Journal of Mathematical Sciences, 1999Let \(S\) be a semigroup and \(G\) a subgroup of \(S\). Let \(R\) be a ring (perhaps, without unity) and \(R'\) a subring of \(R\). The author gives connections between properties of the group ring \(RG\) and the semigroup ring \(RS\), and also the semigroup rings \(RS\) and \(R'S\).
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Mathematical Notes of the Academy of Sciences of the USSR, 1985
Translation from Mat. Zametki 37, No.3, 452-459 (Russian) (1985; Zbl 0562.20034).
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Translation from Mat. Zametki 37, No.3, 452-459 (Russian) (1985; Zbl 0562.20034).
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Radical Semigroup Rings and the Thue--Morse Semigroup
Mathematical Notes, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Coinduction for semigroup-graded rings
Communications in Algebra, 1999We describe the graded-simple modules over a semigroup-graded ring in terms of the simple modules over various component subrings. Our method utilizes the coinduction functors Coindx .
ABRAMS G., MENINI, Claudia
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Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1978
In a previous publication [1] we considered the structure of a fragmented ring and of its multiplicative semigroup. In the present publication we consider, in a purely semigroup-theoretic context, some ideas related to those in [1]. As shown by an example, the semigroups we consider need not be the multiplicative semigroup of a ring.
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In a previous publication [1] we considered the structure of a fragmented ring and of its multiplicative semigroup. In the present publication we consider, in a purely semigroup-theoretic context, some ideas related to those in [1]. As shown by an example, the semigroups we consider need not be the multiplicative semigroup of a ring.
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