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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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TL;DR: In this paper, it was shown that every locally inversesemigroup is an image of a regular Rees matrix semigroup, over an inversedemigroup, by a homomorphism 0 which is one-to-one on each local submonoid.
Abstract: BYD. B. MCALISTERAbstract. A regular semigroup S is locally inverse if each local submonoid eSe, ean idempotent, is an inverse semigroup. It is shown that every locally inversesemigroup is an image of a regular Rees matrix semigroup, over an inversesemigroup, by a homomorphism 0 which is one-to-one on each local submonoid;such a homomorphism is called a local isomorphism. Regular semigroups which arelocally isomorphic images of regular Rees matrix semigroups over semilattices arealso characterized.

44 citations

Journal ArticleDOI
TL;DR: In this article, the main theorem is a Trotter-Kato type approximation result for a continuous degenerate semigroup, which is used to study convergence of heat semigroups with respect to variable domains.
Abstract: By a continuous degenerate semigroup we mean a strongly continuous mapping T : R+ ! L(X) having the semigroup property. Thus, T (0) is a projection which may be different from the identity. The main theorem is a Trotter-Kato type approximation result for such degenerate semigroups. It is used to study convergence of heat semigroups with respect to variable domains.

44 citations

Journal ArticleDOI
TL;DR: In this article, the concept of quasi-distribution semigroups on Banach spaces was introduced and a functional calculus for the generator A of a quasi distribution semigroup was introduced.

43 citations

Journal ArticleDOI
TL;DR: In this article, the Hermite semigroup e−zH, Re z ⩾ 0, was shown to be a bounded map from Lp(μ) → Lq(μ), 1 ⩽ p, q ⊆ ∞.

43 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20238
202224
20216
20206
20193
201810