On purity of ideals of n-ary semigroups

Journal of Discrete Mathematical Sciences and Cryptography 2026

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Authors: Patchara Pornsurat, Pakorn Palakawong na Ayutthaya, Bundit Pibaljommee
DOI: 10.47974/jdmsc-2313
Cited by: 0

Abstract

We begin by defining interior ideals of n-ary semigroups, followed by the introduction of j-pure ideals and interior pure ideals within this algebraic framework. Subsequently, we provide characterizations of softly left regular, softly right regular, and softly intra regular n-ary semigroups (n ≥ 3) through the analysis of various purity conditions on their associated ideals.

Fields of Study & Subjects

semigroups and automata theory Fuzzy and Soft Set Theory Rings Modules and Algebras

Publication details

Journal / source
Journal of Discrete Mathematical Sciences and Cryptography
Volume
29
Issue
1
Pages
139–153
Publication date
1 January 2026