Regularity in Semigroups of full Contraction Mappings

dc.contributor.authorA. D. Adeshola
dc.date.accessioned2026-05-10T18:38:05Z
dc.date.available2026-05-10T18:38:05Z
dc.date.issued2023-12-01
dc.description.abstractA regular Sernigroup is a sernigroup ,g in which every elerrrent is regular', that is, for each eleme.t a, the,e exists a, elernerrt r s,ch that o,na,: o, while a Contraction map isl ra*ya l<l n:-g l. Let X, be the full symmetric semigroup on X,, : {1,2,. . " , n}. Let aiso O,, : {d e T* : (Vr,y e X.)r <.A :-+ ra I ya or ra } r1a) and CT- = {o € T, : (Yr,1t € X,) l, - A l), ra * ya } Then CT. and OCT. be its subsemigroups of contraction and order-preserving full contractions of Xr" This paper investigates the regularity of the subsemigroup, CCT. and found thal OCT. is not a regular semigroup.
dc.description.sponsorshipSelf sponsored
dc.identifier.citationhttp://www.njmaman.com
dc.identifier.issn0795-2767
dc.identifier.urihttps://kwasuspace.kwasu.edu.ng/handle/123456789/6967
dc.language.isoen
dc.publisherMathematical Association of Nigeria, Kwara State
dc.relation.ispartofseries33; 1
dc.titleRegularity in Semigroups of full Contraction Mappings
dc.typeArticle
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