Kapalı idealler üzerinde asal gamma halkanın kesirler halkası

Öz

Bu çalışmanın amacı, soldan kapalı idealler üzerinde Nobusawa anlamında asal gamma halkanın kesirler halkasını oluşturmaktır.

Anahtar Kelimeler

• Asal gamma halka
• sol ideal
• soldan kapalı ideal

Quotient rings of prime gamma ring on the closed ideals

Öz

The aim of this paper is to give a construction of quotient gamma rings of prime gamma rings in the sense of Nobusawa on left closed ideals.

Anahtar Kelimeler

• Prime gamma ring
• left ideal
• left closed ideal

Kaynakça

1. Amitsur, S. A., On central division algebras, Israel J. Math., 12, 408-420, (1972).
2. Barnes, W. E., On the Γ-ring of Nobusawa, Pacific Journal of Mathematics. 18, 411-422, (1966).
3. Beidar K. I., Martindale III W. S. and Mikhalev, A. V., Rings with Generalized Identities, Marcel Dekker Incoporated, (1996).
4. Genç A., Asal Gamma halkalarının Kesirler Halkası, Doktora Tezi, Ege Üniversitesi, Fen Bilimleri Enstitüsü, İzmir, (2008).
5. Kyuno, S., Gamma Rings, Hadronic Press Incorporated, (1991).
6. Martindale, W., Prime Rings Satisfying a Generalized Polynomial Identity, Journal of Algebra, 12, 576-584, (1969).
7. Nobusawa, N., On a Generalization of the Theory, Osaka Journal of Mathematics, 1, 81-89, (1964).