Fuzzy prime ideals and fuzzy radical ideals (Q913837)

Let L be a completely distributive lattice and X be a commutative ring with a unit element. An L-set A: \(X\to L\) is called an L-ideal iff A(x)\(\wedge A(y)\leq A(x-y)\) and A(x)\(\vee A(y)\leq A(xy)\) for any x,y\(\in X\). The structure of principal L-ideals is discussed and some propertis are stated for relatively prime L-ideals, prime L-ideals, and radical L- ideals. The paper under review continues the previous investigations of the same author [Fuzzy Sets Syst. 8, 133-139 (1982; Zbl 0488.20005)].