On Number of Idempotent Elements in Finite Semigroup of Full Order -Preserving Contractions
dc.contributor.author | Amadu, Kabiru | |
dc.contributor.author | Umar, Mallam Abdulkarim | |
dc.contributor.author | Habibu, Shamsuddeen | |
dc.contributor.author | Bello, Asma'u | |
dc.date.accessioned | 2023-12-14T07:30:03Z | |
dc.date.available | 2023-12-14T07:30:03Z | |
dc.date.issued | 2021-10-28 | |
dc.description.abstract | In this paper, we considered the semigroupOCTn consisting of all mappings of a-finite set Xn - (1, 2, 3, - - - , n} which are both order — preserving and contraction, that is mappinga : Xn -» Xn ^ ich that, for all ,y e Xn, x => x a £ y a,anc | x a — *y a <1 x—y| . In particular, we proposed a closed form formula for the number of idempotent elements in OCTn, (that is elements oc satisfying oc2=oc). | en_US |
dc.identifier.citation | Umar, M.A. et al. (2021) On Number of Idempotent Elements in Finite Semigroup of Full Order -Preserving Contractions | en_US |
dc.identifier.uri | https://keffi.nsuk.edu.ng/handle/20.500.14448/5780 | |
dc.language.iso | en | en_US |
dc.publisher | Department of Mathematics, Nasarawa State University Keffi | en_US |
dc.subject | Full Transformation, Contraction, Idempotent | en_US |
dc.title | On Number of Idempotent Elements in Finite Semigroup of Full Order -Preserving Contractions | en_US |
dc.type | Article | en_US |