Conjugacy classes of the order-preserving and order-decreasing partial one-to-one transformation semigroups

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dc.contributor.authorUgbene, I. J.,
dc.contributor.authorBakare, G. N.,
dc.contributor.authorIbrahim G. R.
dc.date.accessioned2020-02-03T10:23:48Z
dc.date.available2020-02-03T10:23:48Z
dc.date.issued2019-03
dc.description.abstractIn this paper I_n is considered to be the partial one-to-one transformation semigroup on . The order-preserving and order-decreasing partial one-to-one transformation semigroup(〖IC〗_n) is defined to be the subsemigroups of I_n. The nilpotent and idempotent elements of 〖IC〗_n were then obtained from its conjugacy classes using path structure to be n+1 and 1/192 n^4-1/16 n^3+29/48 n^2-n+2 respectively. The index and period of each conjugacy classes were also found. More so, some properties of conjugacy classes were stated.en_US
dc.description.sponsorshipSelfen_US
dc.identifier.citationUgbene, I. J., Bakare, G. N., and Ibrahim G. R. (2019): Conjugacy classes of the order-preserving and order-decreasing partial one-to-one transformation semigroups. Journal of Science, Technology, Mathematics and Education.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/3624
dc.language.isoenen_US
dc.publisherJournal of Science, Technology, Mathematics and Education. Published by the Department of Science Education, Federal University of Technology, Minna, Nigeria.en_US
dc.relation.ispartofseries15(1);282-287
dc.subjectSemigroup,en_US
dc.subjectOrder-preservingen_US
dc.subjectNilpotenten_US
dc.subjectIdempotent Elements.en_US
dc.subjectTransformation Semigroup,en_US
dc.subjectPath Structure,en_US
dc.subjectConjugacy,en_US
dc.subjectOrder-decreasingen_US
dc.subjectPartial one-to-oneen_US
dc.titleConjugacy classes of the order-preserving and order-decreasing partial one-to-one transformation semigroupsen_US
dc.typeArticleen_US

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