Yashshree Shivaji Pawar, I. A. Shaikh
Abstract
Necessary and sufficient conditions for a prime ideal to be a minimal prime ideal and prime ideal to be a principal ideal in an ADL are furnished. And some properties of the special subsets of the set of all prime ideals in an ADL are studied.
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Necessary and sufficient conditions for a prime ideal to be a minimal prime ideal and prime ideal to be a principal ideal in an ADL are furnished. And some properties of the special subsets of the set of all prime ideals in an ADL are studied.
Key concepts: Mathematics, Associated prime, Prime element, Prime ideal, Minimal ideal, Boolean prime ideal theorem, Prime (order theory), Almost prime