Topic
Cancellative semigroup
About: Cancellative semigroup is a research topic. Over the lifetime, 1320 publications have been published within this topic receiving 13319 citations.
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2 citations
TL;DR: In this article, the de Rham-Hodge semigroup on exact 1-forms on the path space of a Riemannian manifold was constructed and proved to be L 2 -contractive.
Abstract: We construct the de Rham-Hodge semigroup on exact 1-forms on the path space of a Riemannian manifold and prove that it is L 2 -contractive.
2 citations
TL;DR: In this article, the study of semigroups presented by a single defining relation A=B and satisfying the Church-Rosser property is devoted to the semigroup analysis.
Abstract: This paper is devoted to the study of semigroups presented by a single defining relationA=B and satisfying the Church-Rosser property.
2 citations
2 citations
TL;DR: In this paper, the relationship between the loop problem of a semigroup and that of a Rees matrix construction (with or without zero) over the semigroup was studied. But the relationship was not considered in this paper.
Abstract: We study the relationship between the loop problem of a semigroup, and that of a Rees matrix construction (with or without zero) over the semigroup. This allows us to characterize exactly those completely zero-simple semigroups for which the loop problem is context-free. We also establish some results concerning loop problems for subsemigroups and Rees quotients.
2 citations