On Gamma Ring Of Quotients of A Semiprime Gamma Ring

Year 2017, Volume: 7 Issue: 1, 12 - 36, 21.06.2017

Emine Koç , Öznur Gölbaşı , Shuliang Huang

https://izlik.org/JA34DR66YH

Abstract

The aim of this paper is
to define the gamma rings of quotients of a semiprime gamma ring and
investigate some properties of gamma ring of quotients.

Keywords

Gamma rings , prime gamma rings , semiprime gamma rings

Yarıasal Gamma Halkalanın Kesirlerinin Gamma Halkaları Üzerine

https://izlik.org/JA34DR66YH

Abstract

Bu makalenin amacı
yarıasal bir gamma halkasının kesirli gamma halkalarını tanımlamak ve kesirli
gamma halkasının bazı özelliklerini araştırmaktır.

Keywords

Gamma Halkaları , Asal Gamma Halkaları , Yarıasal Gamma Halkaları , Kesirli Halkalar

References

• Amitsur, S.A., On ring of quotients, Symposia Mathematica, 8, 149-164, 1972.
• Barnes, W.E., On the Γ-ring of the Nobusawa, Pacific Journal of Mathematics, 18(3) ,411-422, 1996.
• Beidar, K.I , Martindale III, W.S, Mikhalev, A.V., Rings with generalized Identities, Marcel Dekker Inc., 1996.
• Genç, A., The quotient rings of prime Γ-rings (Asal Γ-halkalarının kesirler halkası), PhD Thesis, Ege University, Institute of Science, Bornova/İzmir, 2008.
• Koç, E., Gölbaşı, Ö., On rings of quotient of semiprime Γ-rings, Miskolc Math. Notes, (to appear).
• Kyuno, S., On prime gamma rings, Pacific J. Math., 75(1), 185-190, 1978.
• Kyuno, S., Gamma rings, Hadronic Press Inc., 1991.
• Martindale, W.S., Prime rings satisfying a generalized polynomial identity, Journal of Algebra, 12, 576-584, 1969.
• Nobusawa, N., On a generalization of the ring theory, Osaka J. Math., 1, 81-89, 1964.
• Öztürk, M.A., Jun, Y.B., On the centroid of the prime gamma rings, Commun. Korean Math. Soc., 15(3), 469--479, 2000.
• Öztürk, M.A., Jun, Y.B., On the centroid of the prime gamma rings II, Turkish J. Math., 25, 367--377, 2001.
• Öztürk, M.A., Jun, Y.B., Regularity of the generalized centroid of semiprime gamma rings, Commun. Korean Math. Soc., 19(2), 233--242, 2004.