The structure of generalized inverse semigroups

Ganna Kudryavtseva; Mark V. Lawson

doi:10.1007/s00233-013-9518-3

The structure of generalized inverse semigroups

Ganna Kudryavtseva
, Mark V. Lawson^*

^*Corresponding author for this work

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

4 Citations (Scopus)

132 Downloads (Pure)

Abstract

We prove that the structure of right generalized inverse semigroups is determined by free etale actions of inverse semigroups. This leads to a tensor product interpretation of Yamada's classical structure theorem for generalized inverse semigroups.

Original language	English
Pages (from-to)	199-216
Number of pages	18
Journal	Semigroup Forum
Volume	89
Issue number	1
DOIs	https://doi.org/10.1007/s00233-013-9518-3
Publication status	Published - Aug 2014

Keywords

Inverse semigroups
Generalized inverse semigroups
Presheaves of sets
STRONG MORITA EQUIVALENCE
REGULAR-SEMIGROUPS
STONE DUALITY

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title = "The structure of generalized inverse semigroups",

abstract = "We prove that the structure of right generalized inverse semigroups is determined by free etale actions of inverse semigroups. This leads to a tensor product interpretation of Yamada's classical structure theorem for generalized inverse semigroups.",

keywords = "Inverse semigroups, Generalized inverse semigroups, Presheaves of sets, STRONG MORITA EQUIVALENCE, REGULAR-SEMIGROUPS, STONE DUALITY",

author = "Ganna Kudryavtseva and Lawson, \{Mark V.\}",

note = "{"}The first author was partially supported by an ARRS grant P1-0288, and the second by an EPSRC grant EP/I033203/1.{"}",

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doi = "10.1007/s00233-013-9518-3",

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AU - Kudryavtseva, Ganna

AU - Lawson, Mark V.

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PY - 2014/8

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AB - We prove that the structure of right generalized inverse semigroups is determined by free etale actions of inverse semigroups. This leads to a tensor product interpretation of Yamada's classical structure theorem for generalized inverse semigroups.

KW - Inverse semigroups

KW - Generalized inverse semigroups

KW - Presheaves of sets

KW - STRONG MORITA EQUIVALENCE

KW - REGULAR-SEMIGROUPS

KW - STONE DUALITY

U2 - 10.1007/s00233-013-9518-3

DO - 10.1007/s00233-013-9518-3

M3 - Article

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VL - 89

SP - 199

EP - 216

JO - Semigroup Forum

JF - Semigroup Forum

IS - 1

ER -

The structure of generalized inverse semigroups

Abstract

Keywords

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