Dergiler / Journal of Engineering Technology and Applied Sciences / 2019 / Cilt: 4 - Sayı: 1
On Weakly Prime Fuzzy Ideals of Commutative Rings
- Sayfa
- 19–25
- DOI
- —
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.