Abstract
AbstractThe object of this chapter is to study fuzzy quasi-ideals and fuzzy bi-ideals and Section 1 provides a study of these ideals. Section 2 presents various characterizations of regular semirings involving these fuzzy ideals. In Section 3, we examine and characterize regular and intra regular semirings in this context. Section 4 provides a study of fuzzy k-quasi-ideals and fuzzy k-bi-ideals of semirings and Section 5 contains characterizations of k-regular semirings by the ideals studied in Section 4. Section 6 contains characterizations of k-intra regular semirings by the ideals examined in the preceding section.Throughout this chapter R will denote a semiring with zero.
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