A NOTE ON FULL TRANSFORMATION SEMIGROUPThe topics in this paper deal with generating subsemigroups of the full transformation semigroup ????(????) on a totally ordered finite set (????, ≤) with an arbitrary equivalence relation ???? defined on it. Using the equiv

Authors

  • ELIJAH. E. EDEGHAGBA Department of Mathematical Sciences, Bauchi State University, Gadau
  • SALAUDEEN A. ADEBAYO Department of Mathematical Sciences, Bauchi State University, Gadau
  • UMAR F. MUHAMMAD Department of Mathematics. Nigerian Army University, Biu

Keywords:

Transformation semigroup, Equivalence relation, Totally ordered set, Equal

Abstract

The topics in this paper deal with generating subsemigroups of the full transformation semigroup
????(????) on a totally ordered finite set (????, ≤) with an arbitrary equivalence relation ???? defined on it.
Using the equivalence relation on the set and the cardinality of the set, we investigate under what
conditions some of these subsemigroups of ????(????) generated are equal.

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Published

2021-06-13

How to Cite

EDEGHAGBA, E. E. ., ADEBAYO, S. A. ., & MUHAMMAD, U. F. . (2021). A NOTE ON FULL TRANSFORMATION SEMIGROUPThe topics in this paper deal with generating subsemigroups of the full transformation semigroup ????(????) on a totally ordered finite set (????, ≤) with an arbitrary equivalence relation ???? defined on it. Using the equiv. BIMA JOURNAL OF SCIENCE AND TECHNOLOGY (2536-6041), 5(01), 1-8. Retrieved from https://journals.gjbeacademia.com/index.php/bimajst/article/view/238

Issue

Vol. 5 No. 01 (2021): Vol. 5 No. 1 June 2021

Section

Articles