The Minimality and Maximality of n-ideals in n-ary Semigroups

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i3.3283

Keywords:

n-ary semigroups, i-ideals, n-ideals, minimal ideals, maximal ideals, n-simple, 0-n-simple.

Abstract

One knows that the concept of minimality and maximality of left ideals and right ideals play an important role in semigroups. In this paper, we extend this concept to consider in n-ary semigroups. A number of results concerning relationships between minimality and maximality of n-ideals of n-ary semigroups and n-simple (0-n-simple) n-ary semigroups as well as some characterizations of minimality and maximality of n-ideals of n-ary semigroups are given.

Author Biographies

  • Pattarawan Petchkaew, Songkhla Rajabhat University
    Mathematics and Statistics Program
  • Ronnason Chinram, Prince of Songkla University
    Department of Mathematics and Statistics

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Published

2018-07-31

Issue

Section

Mathematical Psychology

How to Cite

The Minimality and Maximality of n-ideals in n-ary Semigroups. (2018). European Journal of Pure and Applied Mathematics, 11(3), 762-773. https://doi.org/10.29020/nybg.ejpam.v11i3.3283