Idempotent and Regular Elements on Some Semigroups of the Generalized Cohypersubstitutions of type τ = (2)

Authors

  • Nagornchat Chansuriya Faculty of Science, Energy and Environment, King Mongkut’s University of Technology North Bangkok (Rayong Campus) https://orcid.org/0000-0003-3907-6494
  • Supaporn Fongchanta Department of Mathematics and Statistics, Faculty of Science and Technology, Chiang Mai Rajabhat University, Thailand

Keywords:

Coterms, Generalized Cohypersubstitutions, Idempotent Elements, Regular Elements

Abstract

A generalized cohypersubstitution σ of type τ = (ni) i∈I is a mapping which maps every ni-ary cooperation symbol fi to the coterm σ(f ) of type τ . We denoted the set of all generalized cohypersubstitutions of type τ by CohypG (τ ). In this study, we focus on the semigroups (CohypG (2), +CG ) and (CohypG (2), ⊕CG ) where +CG and ⊕CG are binary operations the set CohypG (2). We characterize the set of all idempotent and regular elements of these semigroups.

Author Biographies

Nagornchat Chansuriya, Faculty of Science, Energy and Environment, King Mongkut’s University of Technology North Bangkok (Rayong Campus)

Assistant Professor in Mathematics at King Mongkut’s University of Technology North Bangkok, Rayong 21120, Thailand

Supaporn Fongchanta, Department of Mathematics and Statistics, Faculty of Science and Technology, Chiang Mai Rajabhat University, Thailand

Department of Mathematics and Statistics, Faculty of Science and Technology, Chiang Mai
Rajabhat University, Chiang Mai 50300, Thailand

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Published

2022-07-26

How to Cite

Chansuriya, N., & Fongchanta, S. (2022). Idempotent and Regular Elements on Some Semigroups of the Generalized Cohypersubstitutions of type τ = (2). Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and Applications, 1(1), 67–74. Retrieved from https://bangmodjmcs.com/index.php/ncao/article/view/77

Issue

Vol. 1 No. 1 (2022): January - June, 2022

Section

Articles

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Copyright (c) 2022 Nagornchat Chansuriya, Supaporn Fongchanta

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