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The representation theory of the incidence algebra of an inverse semigroup
, 2011 B. Brimacombe
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Proper ordered inverse semigroups [PDF]
Pacific Journal of Mathematics, 1965 openaire +3 more sources
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On the complexity of inverse semigroup conjugacy
Semigroup Forum, 2021We investigate the computational complexity of various decision problems related to conjugacy in finite inverse semigroups. We describe deterministic algorithms requiring logarithmic space for checking if two elements are conjugate in the full inverse ...
Trevor Jack
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Topologies on the symmetric inverse semigroup
Semigroup Forum, 2020The symmetric inverse semigroup I(X) on a set X is the collection of all partial bijections between subsets of X with composition as the algebraic operation. We study the minimal Hausdorff inverse semigroup topology on I(X).
J. Pérez, C. Uzcátegui
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On zigzag maps and the path category of an inverse semigroup
Semigroup Forum, 2018We study the path category of an inverse semigroup admitting unique maximal idempotents and give an abstract characterization of the inverse semigroups arising from zigzag maps on a left cancellative category.
Allan P. Donsig +4 more
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EMBEDDING INVERSE SEMIGROUPS IN BISIMPLE CONGRUENCE-FREE INVERSE SEMIGROUPS
The Quarterly Journal of Mathematics, 1983The authors prove that for every infinite cardinal m there exists a bisimple congruence-free inverse semigroup \(S_ m\) with \(| S_ m| =2^ m\) such that every inverse semigroup of cardinal not exceeding m can be embedded in \(S_ m\). They also show that if S is an inverse semigroup and if \(m=| S|\) if \(| S|\) is infinite and \(m=\aleph_ 0\) otherwise,
Leemans, H., Pastijn, F.
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A new approach to a network of congruences on an inverse semigroup
Semigroup Forum, 2019This paper enriches the list of known properties of congruence sequences starting from the universal relation and successively performing the operators lower k and lower t.
Ying-Ying Feng +3 more
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The tight groupoid of an inverse semigroup
Semigroup Forum, 2014In this work we present algebraic conditions on an inverse semigroup S\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek ...
R. Exel, Enrique Pardo
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