On the commutativity conditions for rings and Γ-rings
On the commutativity conditions for rings and Γ-rings
Let R be any ring. In this paper we observe the relation between the center of R-ring R and the center of usual ring R and then prove if the center of R-ring R is nonzero, then R is commutative as a ring. We also show that the common hypothesisaαbβc = aβbαc for all a, b, c ∈ M and α, β ∈ Γfor a weak Nobusawa Γ-ring M is sufficent for M to be commutative. Also, we investigate some conditions on ideals of Γ-ring that make M to be commutative.
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- Yayın Aralığı: Yılda 6 Sayı
- Başlangıç: 2002
- Yayıncı: Hacettepe Üniversitesi Fen Fakultesi