- Journal of Engineering Technology and Applied Sciences
- Vol: 4 Issue: 1
- On Weakly Prime Fuzzy Ideals of Commutative Rings
On Weakly Prime Fuzzy Ideals of Commutative Rings
Authors : Deniz Sönmez, Gürsel Yeşilot
Pages : 19-25
Doi:10.30931/jetas.404279
View : 10 | Download : 4
Publication Date : 2019-04-15
Article Type : Research
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 ∈ (0, µ(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