Article overview
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 semigrouppseudo symmetric idealmaximal pseudo symmetric idealminimal pseudo symmetric ideal.
AMS Subject Classification
06F99, 20M12, 20N99.
Reference information
How to Cite
Machchhindra T. Gophane, Dattatray N. Shinde (2024). MAXIMAL AND MINIMAL PSEUDO SYMMETRIC IDEALS IN PARTIALLY ORDERED TERNARY SEMIGROUPS. South East Asian Journal of Mathematics and Mathematical Sciences, 20(2), 121-132.