Fundamental Ehresmann semigroups

G M S Gomes; V Gould

doi:10.1007/s002330010054

Fundamental Ehresmann semigroups

G M S Gomes, V Gould

Mathematics

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

Abstract

The celebrated construction by Munn of a fundamental inverse semigroup T-E from a semilattice E provides an important tool in the study of inverse semigroups. We present here a semigroup C-E that plays the T-E role for Ehresmann semigroups. Inverse semigroups are Ehresmann, as are those that are adequate, weakly ample or weakly hedged. We describe explicitly the semigroups C-E for some specific semilattices E and extract information relating to the corresponding classes of Ehresmann semigroups.

Original language	English
Pages (from-to)	11-33
Number of pages	23
Journal	Semigroup forum
Volume	63
Issue number	1
DOIs	https://doi.org/10.1007/s002330010054
Publication status	Published - 2001

Keywords

Algebra, Pure Mathematics

Access to Document

10.1007/s002330010054

Cite this

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title = "Fundamental Ehresmann semigroups",

abstract = "The celebrated construction by Munn of a fundamental inverse semigroup T-E from a semilattice E provides an important tool in the study of inverse semigroups. We present here a semigroup C-E that plays the T-E role for Ehresmann semigroups. Inverse semigroups are Ehresmann, as are those that are adequate, weakly ample or weakly hedged. We describe explicitly the semigroups C-E for some specific semilattices E and extract information relating to the corresponding classes of Ehresmann semigroups.",

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AB - The celebrated construction by Munn of a fundamental inverse semigroup T-E from a semilattice E provides an important tool in the study of inverse semigroups. We present here a semigroup C-E that plays the T-E role for Ehresmann semigroups. Inverse semigroups are Ehresmann, as are those that are adequate, weakly ample or weakly hedged. We describe explicitly the semigroups C-E for some specific semilattices E and extract information relating to the corresponding classes of Ehresmann semigroups.

KW - Algebra, Pure Mathematics

U2 - 10.1007/s002330010054

DO - 10.1007/s002330010054

M3 - Article

SN - 0037-1912

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EP - 33

JO - Semigroup forum

JF - Semigroup forum

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