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Notes on Prime Near-Rings with Multiplicative Derivation

Yıl 2017, Cilt: 38 Sayı: 2, 355 - 363, 24.04.2017
https://doi.org/10.17776/cumuscij.290566

Öz

Let  be a left near ring. A
map   is called a nonzero
multiplicative derivation if  holds for all  In the present paper,
we shall extend some well known results concerning commutativity of prime rings
for nonzero multiplicative derivations of a left prime near-ring 

Kaynakça

  • [1]. Bell, H. and Mason, G., On derivations in near rings, Near rings and Near fields, North-Holland Mathematical Studies, 137, 31-35, (1987).
  • [2]. Bell, H. E., On derivations in near-rings II, Kluwer Academic Pub. Math. Appl., Dordr., 426, 191-197, (1997).
  • [3]. Bell, H. E. and Kappe, L. C., Rings in which derivations satisfy certain algebraic conditions, Acta Math. Hungarica, 53, 339-346, (1989).
  • [4]. Daif, M. N., When is a multiplicative derivation additive, Int. J. Math. Math. Sci., 14(3), 615-618, (1991).
  • [5]. Daif, M. N. and Bell, H. E., Remarks on derivations on semiprime rings, Int. J. Math. Math. Sci., 15(1), 205-206, (1992).
  • [6]. Goldman, H. and Semrl, P., Multiplicative derivations on , Monatsh Math., 121(3), 189-197, (1969).
  • [7]. Herstein, I. N., A note on derivations, Canad. Math. Bull., 21(3), 369-370, (1978).
  • [8]. Martindale III, W. S., When are multiplicative maps additive, Proc. Amer. Math. Soc., 21, 695-698, (1969).
  • [9]. Kamal, A. M. and Al-Shaalan, K. H., Existence of derivations on near-rings, Math. Slovaca, 63, no:3, 431-438, (2013).
  • [10]. Koç, E. and Gölbaşı, Ö., Semiprime near-rings with multiplicative generalized derivations, Fasciculi Mathematici, 57, 105-119, (2016).
  • [11]. Posner, E. C. Derivations in Prime Rings, Proc. Amer. Math. Soc., 8, 1093-1100, (1957).

Çarpımsal Türevli Asal Yakın Halkalar Üzerine Notlar

Yıl 2017, Cilt: 38 Sayı: 2, 355 - 363, 24.04.2017
https://doi.org/10.17776/cumuscij.290566

Öz

bir
sol yakın halka olsun.
 dönüşümü her  için  koşulunu sağlıyorsa  ye bir çarpımsal türev denir. Bu makalede,
asal halkalarda iyi bilinen bazı komütatiflik koşulları, çarpımsal türevli sol
asal yakın halkalar için genelleştirilecektir.

Kaynakça

  • [1]. Bell, H. and Mason, G., On derivations in near rings, Near rings and Near fields, North-Holland Mathematical Studies, 137, 31-35, (1987).
  • [2]. Bell, H. E., On derivations in near-rings II, Kluwer Academic Pub. Math. Appl., Dordr., 426, 191-197, (1997).
  • [3]. Bell, H. E. and Kappe, L. C., Rings in which derivations satisfy certain algebraic conditions, Acta Math. Hungarica, 53, 339-346, (1989).
  • [4]. Daif, M. N., When is a multiplicative derivation additive, Int. J. Math. Math. Sci., 14(3), 615-618, (1991).
  • [5]. Daif, M. N. and Bell, H. E., Remarks on derivations on semiprime rings, Int. J. Math. Math. Sci., 15(1), 205-206, (1992).
  • [6]. Goldman, H. and Semrl, P., Multiplicative derivations on , Monatsh Math., 121(3), 189-197, (1969).
  • [7]. Herstein, I. N., A note on derivations, Canad. Math. Bull., 21(3), 369-370, (1978).
  • [8]. Martindale III, W. S., When are multiplicative maps additive, Proc. Amer. Math. Soc., 21, 695-698, (1969).
  • [9]. Kamal, A. M. and Al-Shaalan, K. H., Existence of derivations on near-rings, Math. Slovaca, 63, no:3, 431-438, (2013).
  • [10]. Koç, E. and Gölbaşı, Ö., Semiprime near-rings with multiplicative generalized derivations, Fasciculi Mathematici, 57, 105-119, (2016).
  • [11]. Posner, E. C. Derivations in Prime Rings, Proc. Amer. Math. Soc., 8, 1093-1100, (1957).
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Special
Yazarlar

Zeliha Bedir

Öznur Gölbaşı

Yayımlanma Tarihi 24 Nisan 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 38 Sayı: 2

Kaynak Göster

APA Bedir, Z., & Gölbaşı, Ö. (2017). Notes on Prime Near-Rings with Multiplicative Derivation. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, 38(2), 355-363. https://doi.org/10.17776/cumuscij.290566
AMA Bedir Z, Gölbaşı Ö. Notes on Prime Near-Rings with Multiplicative Derivation. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. Nisan 2017;38(2):355-363. doi:10.17776/cumuscij.290566
Chicago Bedir, Zeliha, ve Öznur Gölbaşı. “Notes on Prime Near-Rings With Multiplicative Derivation”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 38, sy. 2 (Nisan 2017): 355-63. https://doi.org/10.17776/cumuscij.290566.
EndNote Bedir Z, Gölbaşı Ö (01 Nisan 2017) Notes on Prime Near-Rings with Multiplicative Derivation. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 38 2 355–363.
IEEE Z. Bedir ve Ö. Gölbaşı, “Notes on Prime Near-Rings with Multiplicative Derivation”, Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, c. 38, sy. 2, ss. 355–363, 2017, doi: 10.17776/cumuscij.290566.
ISNAD Bedir, Zeliha - Gölbaşı, Öznur. “Notes on Prime Near-Rings With Multiplicative Derivation”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 38/2 (Nisan 2017), 355-363. https://doi.org/10.17776/cumuscij.290566.
JAMA Bedir Z, Gölbaşı Ö. Notes on Prime Near-Rings with Multiplicative Derivation. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. 2017;38:355–363.
MLA Bedir, Zeliha ve Öznur Gölbaşı. “Notes on Prime Near-Rings With Multiplicative Derivation”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, c. 38, sy. 2, 2017, ss. 355-63, doi:10.17776/cumuscij.290566.
Vancouver Bedir Z, Gölbaşı Ö. Notes on Prime Near-Rings with Multiplicative Derivation. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. 2017;38(2):355-63.