PARTIAL ORDERS IN REGULAR SEMIGROUPS

dc.creatorSrinivas,K. V. R
dc.creatorAnasuya,Y. L
dc.date2010-12-01
dc.date.accessioned2017-03-07T16:30:31Z
dc.date.available2017-03-07T16:30:31Z
dc.identifierhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300003
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/402786
dc.descriptionFirst 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 .
dc.formattext/html
dc.languageen
dc.publisherUniversidad Católica del Norte, Departamento de Matemáticas
dc.sourceProyecciones (Antofagasta) v.29 n.3 2010
dc.subjectLocally inverse semigroup
dc.subjectorthodox semigroup
dc.subjectcompletely regular semigroup
dc.subjectnormal band
dc.titlePARTIAL ORDERS IN REGULAR SEMIGROUPS
dc.typeArtículos de revistas


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