Topic
Bicyclic semigroup
About: Bicyclic semigroup is a research topic. Over the lifetime, 1507 publications have been published within this topic receiving 19311 citations.
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26 citations
TL;DR: In this paper, a new family of identities satisfied by the semigroups U n (𝕋) of n × n upper triangular tropical matrices is constructed and an elementary proof is given.
Abstract: A new family of identities satisfied by the semigroups U n (𝕋) of n × n upper triangular tropical matrices is constructed and an elementary proof is given.
26 citations
TL;DR: In this paper, the weak module amenability of Banach algebras over another Banach algebra with compatible actions has been studied, and it has been shown that the semigroup algebra of a commutative inverse semigroup is always weakly amenable as a module over its subsemigroup of idempotents.
Abstract: We study the weak module amenability of Banach algebras which are Banach module over another Banach algebra with compatible actions. As an example we show that the semigroup algebra of a commutative inverse semigroup is always weakly amenable as a module over the semigroup algebra of its subsemigroup of idempotents.
26 citations
TL;DR: This paper presents a new infinite series of limit semigroup varieties, each of which is generated by a finite 0-simple semigroup with Abelian subgroups.
Abstract: A limit variety is a variety that is minimal with respect to being nonfinitely based. This paper presents a new infinite series of limit semigroup varieties, each of which is generated by a finite 0-simple semigroup with Abelian subgroups. These varieties exhaust all limit varieties generated by completely 0-simple semigroups with Abelian subgroups.
26 citations
Journal Article•
TL;DR: In this paper, the authors describe how the graded minimal resolution of certain semigroup algebras is related to the combinatorics of simplicial complexes and obtain characterizations of the Cohen-Macaulay and Gorenstein conditions.
Abstract: We describe how the graded minimal resolution of certain semigroup algebras is related to the combinatorics of some simplicial complexes We obtain characterizations of the Cohen-Macaulay and Gorenstein conditions The Cohen- Macaulay type is computed from combinatorics As an application, we compute explicitly the graded minimal resolution of monomial both affine and simplicial projective surfaces
26 citations