MAXIMAL AND MINIMAL PSEUDO SYMMETRIC IDEALS IN PARTIALLY ORDERED TERNARY SEMIGROUPS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 8

Volume : 20 , Issue : 2
DOI: https://doi.org/10.56827/SEAJMMS.2024.2002.9
Author :
Machchhindra T. Gophane (Department of Mathematics, Shivaji University, Kolhapur - 416004, Maharashtra, INDIA)
Dattatray N. Shinde (Department of Mathematics, PES s College of Engineering, Phaltan - 415523, Maharashtra, INDIA)

Abstract

We have introduced the notions of maximal and minimal pseudo symmetric ideals of a partially ordered ternary semigroup $T$ and studied their properties. We show that every maximal pseudo symmetric ideal of a commutative partially ordered ternary semigroup with identity is a prime pseudo symmetric ideal. We gave an example to show that the converse of this statement is not true.

Keywords and Phrases

Partially ordered ternary semigroup, pseudo symmetric ideal, maximal pseudo symmetric ideal, minimal pseudo symmetric ideal.

A.M.S. subject classification

06F99, 20M12, 20N99.

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