Uppasetti Madana Swamy
Department of Mathematics Andhra University

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Fuzzy Prime Ideals of ADL's Ch. Santhi Sundar Raj; Natnael Teshale Amare; Uppasetti Madana Swamy
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 4, No 2 (2018)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (178.829 KB) | DOI: 10.12962/j24775401.v4i2.3187

Abstract

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.