On Weakly Prime Fuzzy Ideals of Commutative Rings

Year 2019, Volume: 4 Issue: 1, 19 - 25, 15.04.2019

Deniz Sönmez , Gürsel Yeşilot

https://doi.org/10.30931/jetas.404279

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

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