On quasi-orthodox semigroups with inverse transversals

Thomas Scott Blyth; MH Almeida Santos

doi:10.1017/S0013091500023981

On quasi-orthodox semigroups with inverse transversals

Thomas Scott Blyth, MH Almeida Santos

Applied Mathematics

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

7 Citations (Scopus)

Abstract

An inverse transversal of a regular semigroup S is an inverse subsemigroup S degrees that contains precisely one inverse of each element of S. Here we consider the case where S is quasi-orthodox. We give natural characterisations of such semigroups and consider various properties of congruences.

Original language	English
Pages (from-to)	505-514
Number of pages	10
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	40
Issue number	3
DOIs	https://doi.org/10.1017/S0013091500023981
Publication status	Published - Oct 1997

Keywords

REGULAR-SEMIGROUPS

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10.1017/S0013091500023981

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title = "On quasi-orthodox semigroups with inverse transversals",

abstract = "An inverse transversal of a regular semigroup S is an inverse subsemigroup S degrees that contains precisely one inverse of each element of S. Here we consider the case where S is quasi-orthodox. We give natural characterisations of such semigroups and consider various properties of congruences.",

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AU - Almeida Santos, MH

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AB - An inverse transversal of a regular semigroup S is an inverse subsemigroup S degrees that contains precisely one inverse of each element of S. Here we consider the case where S is quasi-orthodox. We give natural characterisations of such semigroups and consider various properties of congruences.

KW - REGULAR-SEMIGROUPS

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DO - 10.1017/S0013091500023981

M3 - Article

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SP - 505

EP - 514

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

IS - 3

ER -

On quasi-orthodox semigroups with inverse transversals

Abstract

Keywords

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