PARTIAL ORDERS IN REGULAR SEMIGROUPS

First we have obtained equivalent conditions for a regular semigroup and is equivalent to N = N1 It is observed that every regular semigroup is weakly separative and C ? S and on a completely regular semigroup S ? N and S is partial order . It is also obtained that a band (S, .) is normal iff C = N...

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Autores principales:	Srinivas,K. V. R, Anasuya,Y. L
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2010
Materias:	Locally inverse semigroup orthodox semigroup completely regular semigroup normal band
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300003
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spelling	oai:scielo:S0716-091720100003000032010-12-29PARTIAL ORDERS IN REGULAR SEMIGROUPSSrinivas,K. V. RAnasuya,Y. L Locally inverse semigroup orthodox semigroup completely regular semigroup normal band First we have obtained equivalent conditions for a regular semigroup and is equivalent to N = N1 It is observed that every regular semigroup is weakly separative and C ? S and on a completely regular semigroup S ? N and S is partial order . It is also obtained that a band (S, .) is normal iff C = N . It is also observed that on a completely regular semigroup (S, .), C = S = N iff (S, .) is locally inverse semigroup and the restriction of C to E(S) is the usual partial order on E(S). Finally it is obtained that, if (S, .) is a normal band of groups then C = S = N .info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.29 n.3 20102010-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300003en10.4067/S0716-09172010000300003
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Locally inverse semigroup orthodox semigroup completely regular semigroup normal band
spellingShingle	Locally inverse semigroup orthodox semigroup completely regular semigroup normal band Srinivas,K. V. R Anasuya,Y. L PARTIAL ORDERS IN REGULAR SEMIGROUPS
description	First we have obtained equivalent conditions for a regular semigroup and is equivalent to N = N1 It is observed that every regular semigroup is weakly separative and C ? S and on a completely regular semigroup S ? N and S is partial order . It is also obtained that a band (S, .) is normal iff C = N . It is also observed that on a completely regular semigroup (S, .), C = S = N iff (S, .) is locally inverse semigroup and the restriction of C to E(S) is the usual partial order on E(S). Finally it is obtained that, if (S, .) is a normal band of groups then C = S = N .
author	Srinivas,K. V. R Anasuya,Y. L
author_facet	Srinivas,K. V. R Anasuya,Y. L
author_sort	Srinivas,K. V. R
title	PARTIAL ORDERS IN REGULAR SEMIGROUPS
title_short	PARTIAL ORDERS IN REGULAR SEMIGROUPS
title_full	PARTIAL ORDERS IN REGULAR SEMIGROUPS
title_fullStr	PARTIAL ORDERS IN REGULAR SEMIGROUPS
title_full_unstemmed	PARTIAL ORDERS IN REGULAR SEMIGROUPS
title_sort	partial orders in regular semigroups
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2010
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300003
work_keys_str_mv	AT srinivaskvr partialordersinregularsemigroups AT anasuyayl partialordersinregularsemigroups
_version_	1718439770926874624

PARTIAL ORDERS IN REGULAR SEMIGROUPS

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