On the number of order-preserving alternating semigroups

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dc.contributor.authorBakare, G. N.,
dc.contributor.authorIbrahim, S.O.
dc.contributor.authorMakanjuola
dc.date.accessioned2019-10-31T10:53:51Z
dc.date.available2019-10-31T10:53:51Z
dc.date.issued2014-11
dc.description.abstractA semigroup is an algebraic structure consisting of a non-empty set S together with an associative binary operation. A transformation on X is a function from X to itself. Transformation semigroups are one of the most fundamental mathematical objects. They occur in theoretical computer science, where properties of language depend on algebraic properties of various transformation semigroups related to them. Let Cn the symmetricinverse semigroup on Xn = {1,2,3,…,,n}, Anc be the alternating semigroups on n-0bject and OAnc be its subsemigroup of order preserving alternating semigroup of Xn. The set E(OAnc) and N(OAnc) be its idempotent and nilpotent elements of order preserving alternating semigroups of Xn. In this paper, we obtain and discuss formulae for the number of E(OAnc) and N(OAcn) respectively. We also characterize the Green relation on OAcn.en_US
dc.description.sponsorshipSelfen_US
dc.identifier.citationBakare, G. N., Ibrahim, G. R., and Makanjuola, S. O., (2014)en_US
dc.identifier.urihttp://hdl.handle.net/123456789/3233
dc.language.isoenen_US
dc.publisherJournal of Nigerian Association of Mathematical Physics. Published by Nigerian Association of Mathematical Physics.en_US
dc.relation.ispartofseries28(2);1 - 6.
dc.subjectSemigroup,en_US
dc.subjectSymmetric inverse semigroup,en_US
dc.subjectAlternating Semigroup,en_US
dc.subjectOrder preserving,en_US
dc.subjectIdempotenten_US
dc.subjectNilpotent elementsen_US
dc.titleOn the number of order-preserving alternating semigroupsen_US
dc.typeArticleen_US

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