Morita equivalence of inverse semigroups

B. Afara; M. V. Lawson

doi:10.1007/s10998-013-3105-y

Morita equivalence of inverse semigroups

B. Afara^*, M. V. Lawson

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We describe how to construct all inverse semigroups Morita equivalent to a given inverse semigroup S. This is done by taking the maximum inverse images of the regular Rees matrix semigroups over S where the sandwich matrix satisfies what we call the McAlister conditions.

Original language	English
Pages (from-to)	119-130
Number of pages	12
Journal	Periodica Mathematica Hungarica
Volume	66
Issue number	1
DOIs	https://doi.org/10.1007/s10998-013-3105-y
Publication status	Published - Mar 2013

Keywords

inverse semigroups
Morita theory
Rees matrix semigroups

ASJC Scopus subject areas

General Mathematics

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10.1007/s10998-013-3105-y

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title = "Morita equivalence of inverse semigroups",

abstract = "We describe how to construct all inverse semigroups Morita equivalent to a given inverse semigroup S. This is done by taking the maximum inverse images of the regular Rees matrix semigroups over S where the sandwich matrix satisfies what we call the McAlister conditions.",

keywords = "inverse semigroups, Morita theory, Rees matrix semigroups",

author = "B. Afara and Lawson, {M. V.}",

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AU - Afara, B.

AU - Lawson, M. V.

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AB - We describe how to construct all inverse semigroups Morita equivalent to a given inverse semigroup S. This is done by taking the maximum inverse images of the regular Rees matrix semigroups over S where the sandwich matrix satisfies what we call the McAlister conditions.

KW - inverse semigroups

KW - Morita theory

KW - Rees matrix semigroups

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DO - 10.1007/s10998-013-3105-y

M3 - Article

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JF - Periodica Mathematica Hungarica

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Morita equivalence of inverse semigroups

Abstract

Keywords

ASJC Scopus subject areas

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