Γ-group congruences on regular Γ-semigroups

In this paper a Γ-group congruence on a regular Γ-semigroup is defined, some equivalent expressions for any Γ-group congruence on a regular Γ-semigroup and those for the least Γ-group congruence in particular are given.

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Main Author: A. Seth
Format: Article
Language:English
Published: Wiley 1992-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171292000115
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author A. Seth
author_facet A. Seth
author_sort A. Seth
collection DOAJ
description In this paper a Γ-group congruence on a regular Γ-semigroup is defined, some equivalent expressions for any Γ-group congruence on a regular Γ-semigroup and those for the least Γ-group congruence in particular are given.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1992-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-baecb8142b854ddfaa1446755ff650092025-02-03T05:48:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115110310610.1155/S0161171292000115Γ-group congruences on regular Γ-semigroupsA. Seth0Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Calcutta 700 019, IndiaIn this paper a Γ-group congruence on a regular Γ-semigroup is defined, some equivalent expressions for any Γ-group congruence on a regular Γ-semigroup and those for the least Γ-group congruence in particular are given.http://dx.doi.org/10.1155/S0161171292000115regular Γ-semigroupα-idempotentright (left) Γ-idealright (left) simple Γ-semigroupΓ-groupcongruencenormal family.
spellingShingle A. Seth
Γ-group congruences on regular Γ-semigroups
International Journal of Mathematics and Mathematical Sciences
regular Γ-semigroup
α-idempotent
right (left) Γ-ideal
right (left) simple Γ-semigroup
Γ-group
congruence
normal family.
title Γ-group congruences on regular Γ-semigroups
title_full Γ-group congruences on regular Γ-semigroups
title_fullStr Γ-group congruences on regular Γ-semigroups
title_full_unstemmed Γ-group congruences on regular Γ-semigroups
title_short Γ-group congruences on regular Γ-semigroups
title_sort γ group congruences on regular γ semigroups
topic regular Γ-semigroup
α-idempotent
right (left) Γ-ideal
right (left) simple Γ-semigroup
Γ-group
congruence
normal family.
url http://dx.doi.org/10.1155/S0161171292000115
work_keys_str_mv AT aseth ggroupcongruencesonregulargsemigroups