Characterization of quasi idempotent in semigroups of full contraction mappings
| dc.contributor.author | A. D. Adeshola,∗ | |
| dc.contributor.author | , S. O Akandea | |
| dc.contributor.author | Ibrahim, G. R. | |
| dc.date.accessioned | 2025-02-02T20:52:37Z | |
| dc.date.available | 2025-02-02T20:52:37Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | Let Tn be the semigroup of full transformation of a finite set and let Xn = {1, 2, · · · , n}. A transformation α : Domα ⊂ Xn →Im(α) ⊂ Xn is said to be full or total transformation if Domα = Xn. A transformation β ∈ CT n is said to be full contraction mapping if ∀ x, y ∈ Domα, |xα − yα| ≤ |x − y| ∀ x, y ∈ Domα. Let CT n be the semigroup of full contraction transformation and let QCT n be its quasi-idempotent of full contraction transformation of Xn. In this paper, we characterized quasi-idempotent elements into matching blocks, non-matching blocks and self matching blocks of CT n and later come up with a strong and useful theorem | |
| dc.identifier.citation | Characterization of quasi idempotent in semigroups of full contraction mappings AD Adeshola, SO Akande, R Garba-Ibrahim, J Lawal - Proceedings of the Nigerian Society of Physical …, 2024 | |
| dc.identifier.uri | https://flayoophl.com/journals/index.php/pnspsc | |
| dc.identifier.uri | https://kwasuspace.kwasu.edu.ng/handle/123456789/3814 | |
| dc.language.iso | en | |
| dc.publisher | Nigerian Society of Physical Sciences | |
| dc.relation.ispartofseries | Proceedings of the Nigerian Society of Physical Sciences 1 (2024) 88 | |
| dc.title | Characterization of quasi idempotent in semigroups of full contraction mappings | |
| dc.type | Article |