On Weakly Prime Fuzzy Ideals of Commutative Rings

Authors : Deniz Sönmez, Gürsel Yeşilot

Pages : 19-25

Doi:10.30931/jetas.404279

View : 18 | Download : 8

Publication Date : 2019-04-15

Article Type : Research Paper

Abstract :In this paper, we present a new notion of fuzzy ideals : called weakly prime fuzzy ideal. Let R be a commutative ring with non-zero identity. A nonconstant fuzzy ideal µ of R is called weakly prime fuzzy ideal if 0_t != x_r y_s ∈ µ implies x_r ∈ µ or y_s ∈ µ for all t ∈ insert ignore into journalissuearticles values(0, µinsert ignore into journalissuearticles values(0);]. We investigate some properties of this notion. Morever, it is established relations between weakly prime ideals and weakly prime fuzzy ideals of commutative rings.
Keywords : weakly prime fuzzy ideals, prime fuzzy ideals