Pairote Yiarayong, Phakakorn Panpho
Abstract
The purpose of this paper is to introduce the notion of a left prime ideals in semirings, we study prime and left prime ideals in semirings. Some characterizations of prime and left prime ideals are obtained. Moreover, we investigate relationships between prime and left prime ideals in semirings.
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The purpose of this paper is to introduce the notion of a left prime ideals in semirings, we study prime and left prime ideals in semirings. Some characterizations of prime and left prime ideals are obtained. Moreover, we investigate relationships between prime and left prime ideals in semirings.
Key concepts: Prime (order theory), Associated prime, Mathematics, Boolean prime ideal theorem, Prime element, Prime ideal, Combinatorics