Araştırma Makalesi
Yıl 2014,
Cilt: 43 Sayı: 4, 625 - 634, 01.08.2014
Öz
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.
Anahtar Kelimeler
Γ-AG-groupoids Fuzzy sets Fuzzy Γ-ideals Prime fuzzy Γ-ideals Band Irreducible fuzzy Γ-ideals
Kaynakça
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Toplam 1 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Matematik |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Ağustos 2014 |
| Yayımlandığı Sayı | Yıl 2014 Cilt: 43 Sayı: 4 |