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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

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

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.

Yarıasal Gamma Halkalanın Kesirlerinin Gamma Halkaları Üzerine

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

Emine Koç Öznur Gölbaşı Shuliang Huang

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.
There are 12 citations in total.

Details

Subjects Engineering
Journal Section Mathematics
Authors

Emine Koç

Öznur Gölbaşı

Shuliang Huang

Publication Date June 21, 2017
Submission Date March 8, 2017
Acceptance Date June 3, 2017
Published in Issue Year 2017 Volume: 7 Issue: 1

Cite

APA Koç, E., Gölbaşı, Ö., & Huang, S. (2017). On Gamma Ring Of Quotients of A Semiprime Gamma Ring. Adıyaman University Journal of Science, 7(1), 12-36.
AMA Koç E, Gölbaşı Ö, Huang S. On Gamma Ring Of Quotients of A Semiprime Gamma Ring. ADYU J SCI. June 2017;7(1):12-36.
Chicago Koç, Emine, Öznur Gölbaşı, and Shuliang Huang. “On Gamma Ring Of Quotients of A Semiprime Gamma Ring”. Adıyaman University Journal of Science 7, no. 1 (June 2017): 12-36.
EndNote Koç E, Gölbaşı Ö, Huang S (June 1, 2017) On Gamma Ring Of Quotients of A Semiprime Gamma Ring. Adıyaman University Journal of Science 7 1 12–36.
IEEE E. Koç, Ö. Gölbaşı, and S. Huang, “On Gamma Ring Of Quotients of A Semiprime Gamma Ring”, ADYU J SCI, vol. 7, no. 1, pp. 12–36, 2017.
ISNAD Koç, Emine et al. “On Gamma Ring Of Quotients of A Semiprime Gamma Ring”. Adıyaman University Journal of Science 7/1 (June 2017), 12-36.
JAMA Koç E, Gölbaşı Ö, Huang S. On Gamma Ring Of Quotients of A Semiprime Gamma Ring. ADYU J SCI. 2017;7:12–36.
MLA Koç, Emine et al. “On Gamma Ring Of Quotients of A Semiprime Gamma Ring”. Adıyaman University Journal of Science, vol. 7, no. 1, 2017, pp. 12-36.
Vancouver Koç E, Gölbaşı Ö, Huang S. On Gamma Ring Of Quotients of A Semiprime Gamma Ring. ADYU J SCI. 2017;7(1):12-36.

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