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Open Access Research Article

On purity of ideals of n-ary semigroups

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pp. 139–153Vol. 29Issue 1January 2026DOI: 10.47974/JDMSC-2313 Crossmark XML
Received:
08 Oct 2024
Published Online:
14 Jan 2026
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2313
Pages:
139–153

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. 

Keywords

Subject Classifications

20N1520M12

References

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