Fuzzy \(K\)-ideals of \(K\)-algebras

Abstract

We introduce the notion of fuzzy \(K\)-ideals of \(K\)-algebras and investigate some of their properties. We characterize ascending and descending chains of \(K\)-ideals by the corresponding fuzzy \(K\)-ideals. We discuss some properties of characteristic fuzzy \(K\)-ideals of \(K\)-algebras. We construct a quotient \(K\)-algebra via fuzzy \(K\)-ideal and present the fuzzy isomorphism theorems.