Research Article
Year 2014,
Volume: 43 Issue: 4, 625 - 634, 01.08.2014
Abstract
In this paper we study fuzzy Γ-ideals and prime, semiprime fuzzy Γideals of a Γ-AG-groupoid S. We prove that, if S is a Γ-AG-groupoid
with left identity, then every fuzzy Γ-ideal of S is idempotent if and
only if every fuzzy Γ-ideal of S is semiprime. We also show that, if S
is a Γ-AG-groupoid with left identity e, then every fuzzy Γ-ideal of S
is prime if and only if every fuzzy Γ-ideal of S is idempotent and the
set of fuzzy Γ-ideals of S is totally ordered by inclusion.
with left identity, then every fuzzy Γ-ideal of S is idempotent if and
only if every fuzzy Γ-ideal of S is semiprime. We also show that, if S
is a Γ-AG-groupoid with left identity e, then every fuzzy Γ-ideal of S
is prime if and only if every fuzzy Γ-ideal of S is idempotent and the
set of fuzzy Γ-ideals of S is totally ordered by inclusion.
Keywords
Γ-AG-groupoids Fuzzy sets Fuzzy Γ-ideals Prime fuzzy Γ-ideals Band Irreducible fuzzy Γ-ideals
References
- . . .
There are 1 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Mathematics |
| Authors | |
| Publication Date | August 1, 2014 |
| Published in Issue | Year 2014 Volume: 43 Issue: 4 |