Fuzzy Prime Ideals of ADL's

Chigurupalli Santhi Sundar Raj (Department of Engineering Mathematics, Andhra University)
Natnael Teshale Amare (Department of Mathematics, University of Gondar)
Uppasetti Madana Swamy (Department of Mathematics, Andhra University)

International Journal of Computing Science and Applied Mathematics-IJCSAM
Vol. 4 No. 2 (2018)

In this paper the concept of prime L-fuzzy ideals and L-fuzzy prime ideals of an ADL A with truth values in a complete lattice L satisfying the infinite meet distributive law are introduced. All prime L-fuzzy ideals of a given ADL A are determined by establishing a one-to- one correspondence between prime L-fuzzy ideals of an ADL A and the pairs (P;a), where P is a prime ideal of A and a is a prime element in L. Also, here minimal prime L-fuzzy ideals and L-fuzzy minimal prime ideals of an ADL A are introduced and characterized.