Ranks of Identity Difference Transformation Semigroup

Author:

Jude. A. Omelebele1,O. G. Udoaka1,I. U. Udoakpan1

Affiliation:

1. University of Port Harcourt, Choba, Nigeria

Abstract

This study focuses on the ranks of identity difference transformation semigroup. The ideals of all the (sub) semigroups; identity difference full transformation semigroup (IDT_n), identity difference order preserving transformation semigroup, (IDO_n), identity difference symmetric inverse transformation semigroup( IDI_n), identity difference partial order preserving symmetric inverse transformation semigroup( IDPOI_n) and identity difference partial order preserving transformation semigroup ( IDPO_n) were investigated for rank and their combinatorial results obtained respectively.

Publisher

North Atlantic University Union (NAUN)

Subject

General Medicine

Reference17 articles.

1. A. O. Adeniji, (2012). “Identity Difference Transformation Semigroups”. Ph.D. thesis. Department of mathematics, faculty of science, university of Ilorin, Ilorin, Nigeria.

2. A. O. Adeniji, and S.O. Makanjuola, (2013). “Congruence in Identity difference full transformation semigroup”. International Journal of Algebra, Vol. 7, 2013, no. 12,563-572.

3. A. D. Adeshola and A. Umar (2013). “Combinatorial results for certain semigroups of order-preserving full contraction mappings of a finite chain”. arXiv:1303.7428v2 [math.Co].

4. A. J. Cain. (2015), “Lecture notes for a tour through semigroups”. Porto & Lisbon.

5. V.H. Fernandes, and J. Sanwong (2014). “On the rank of semigroups of transformations on a finite set with restricted range”. Algebra colloq., (21), 497-510.

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1. Idempotent Rank of Identity Difference Transformation Semigroup;International Journal of Pure Mathematics;2022-09-22

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