Journal ArticleDOI
A representation of e-unitary inverse semigroups
M. Petrich,Norman R. Reilly +1 more
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This article is published in Quarterly Journal of Mathematics.The article was published on 1979-09-01. It has received 22 citations till now. The article focuses on the topics: Special classes of semigroups & Inverse element.read more
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Partial actions of groups
TL;DR: It is proved that each partial group action is the restriction of a universal global group action, and some applications of this result are described to group theory and the theory of E-unitary inverse semigroups.
Partial actions: a survey
TL;DR: A survey of partial actions on C ∗ -algebras can be found in this paper, where partial representations and partial actions have been used to characterize various important classes of operator algebraic bundles as crossed products by partial actions.
Journal ArticleDOI
Recent developments around partial actions
TL;DR: In this article, the authors give an overview of publications on partial actions and related concepts, paying main attention to some recent developments on diverse aspects of the theory, such as partial actions of semigroups, of Hopf algebras and groupoids.
Proceedings ArticleDOI
Restriction and ehresmann semigroups
TL;DR: Inverse semigroups form a variety of unary semi-groups equipped with an additional unary operation, in this case a 7! a 1. The theory of inverse semiggroups is perhaps the best developed within semigroup the- ory, and relies on two factors: an inverse semigroup S is regular, and has semilattice of idempotents as discussed by the authors.
Journal ArticleDOI
Proper two-sided restriction semigroups and partial actions
Claire Cornock,Victoria Gould +1 more
TL;DR: The class of proper left restriction semigroups as discussed by the authors admits proper covers and proper monoids acting on both sides of a semilattice, and it is known that any proper left-drag semigroup embeds into a semidirect product of a semi-attice by a monoid.