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On Gamma Ring Of Quotients of A Semiprime Gamma Ring

Yıl 2017, Cilt: 7 Sayı: 1, 12 - 36, 21.06.2017

Öz

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.

Kaynakça

  • 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

Yıl 2017, Cilt: 7 Sayı: 1, 12 - 36, 21.06.2017

Öz

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

Kaynakça

  • 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.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Matematik
Yazarlar

Emine Koç

Öznur Gölbaşı

Shuliang Huang

Yayımlanma Tarihi 21 Haziran 2017
Gönderilme Tarihi 8 Mart 2017
Kabul Tarihi 3 Haziran 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 7 Sayı: 1

Kaynak Göster

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. Haziran 2017;7(1):12-36.
Chicago Koç, Emine, Öznur Gölbaşı, ve Shuliang Huang. “On Gamma Ring Of Quotients of A Semiprime Gamma Ring”. Adıyaman University Journal of Science 7, sy. 1 (Haziran 2017): 12-36.
EndNote Koç E, Gölbaşı Ö, Huang S (01 Haziran 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, ve S. Huang, “On Gamma Ring Of Quotients of A Semiprime Gamma Ring”, ADYU J SCI, c. 7, sy. 1, ss. 12–36, 2017.
ISNAD Koç, Emine vd. “On Gamma Ring Of Quotients of A Semiprime Gamma Ring”. Adıyaman University Journal of Science 7/1 (Haziran 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 vd. “On Gamma Ring Of Quotients of A Semiprime Gamma Ring”. Adıyaman University Journal of Science, c. 7, sy. 1, 2017, ss. 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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