Almost n-ary Subsemigroups and Fuzzy Almost n-ary Subsemigroups of n-ary Semigroups

Authors

  • Ronnason Chinram Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand
  • Pattarawan Singavananda Mathematics Program, Faculty of Science and Technology, Songkhla Rajabhat University, Songkhla 90000, Thailand

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6259

Keywords:

n-ary semigroups, almost n-ary subsemigroups, fuzzy almost n-ary subsemigroups, minimal, prime, semiprime.

Abstract

An n-ary semigroup is a non-empty set with an associative n-ary operation. Semi-groups and ternary semigroups are special cases of n-ary semigroups where n = 2 and n = 3,respectively. In this study, we introduce and explore the notions of almost n-ary subsemigroups and their fuzzy counterparts, termed fuzzy almost n-ary subsemigroups, within the framework of n-ary semigroups. Moreover, we demonstrate certain relationships between almost n-ary subsemigroups and fuzzy almost n-ary subsemigroups.

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Published

2025-08-01

Issue

Section

Algebra

How to Cite

Almost n-ary Subsemigroups and Fuzzy Almost n-ary Subsemigroups of n-ary Semigroups. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6259. https://doi.org/10.29020/nybg.ejpam.v18i3.6259