On Weakly Prime Fuzzy Ideals of Commutative Rings
On Weakly Prime Fuzzy Ideals of Commutative Rings
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,
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- Yayın Aralığı: 3
- Başlangıç: 2016
- Yayıncı: Muhammet Kurulay