Araştırma Makalesi

A Generalization on Right Ideals of Prime Rings with α-Derivations

Cilt: 9 Sayı: 4 1 Aralık 2019
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A Generalization on Right Ideals of Prime Rings with α-Derivations

Öz

In this paper, we generalize previous studies on right ideals of prime ring 𝑅 with generalized 𝛼− derivation 𝐷 and show that 𝑅 is commutative under different conditions. Also, we investigate commutative property of prime ring 𝑅 for two generalized 𝛼− derivations 𝐷 and 𝐻.

Anahtar Kelimeler

Kaynakça

  1. Abu Nawas M. K, Al-Omary R. M, 2018. On ideals and commutativity of prime rings with generalized derivations. European Journal of Pure and Applied Mathematics, 11(1): 79-89.
  2. Argac N, 2004. On near-rings with two-sided α- derivations. Turk. J.Math, 28: 195–204.
  3. Ashraf M, Rehman N, 2001. On derivations and commutativity in prime rings. East-West J. Math., 3(1): 87-91.
  4. Ashraf M, Asma A, Shakir A, 2007. Some commutativiy theorems for rings with generalized derivations. Southeast Asain Bull. of Math., 31:415-421.
  5. Bresar M, 1991. On the distance of the composition of two derivations to the generalized derivations. Glaskow Math. J, 33: 89-93.
  6. Chang J. C, 2009. Right generalized (α,β)- derivations having power central values. Taiwanese J. Math, 13(4): 1111-1120.
  7. Gölbaşı Ö, Koç E, 2009. Notes on commutativity on prime rings with generalized derivation. Commun Fac. Sci. Univ. Ank. Series A1, 58(2): 39-46.
  8. Herstein I. N, 1979. A note on derivations II. Canad. Math. Bull. 22: 509-511.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

1 Aralık 2019

Gönderilme Tarihi

25 Şubat 2019

Kabul Tarihi

15 Haziran 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 9 Sayı: 4

DOI

https://doi.org/10.21597/jist.531856

IZ

https://izlik.org/JA97GF36AM

Kaynak Göster

RIS / Bibtex
APA
Albayrak, B. (2019). A Generalization on Right Ideals of Prime Rings with α-Derivations. Journal of the Institute of Science and Technology, 9(4), 2190-2199. https://doi.org/10.21597/jist.531856
AMA
1.Albayrak B. A Generalization on Right Ideals of Prime Rings with α-Derivations. Iğdır Üniv. Fen Bil Enst. Der. 2019;9(4):2190-2199. doi:10.21597/jist.531856
Chicago
Albayrak, Barış. 2019. “A Generalization on Right Ideals of Prime Rings with α-Derivations”. Journal of the Institute of Science and Technology 9 (4): 2190-99. https://doi.org/10.21597/jist.531856.
EndNote
Albayrak B (01 Aralık 2019) A Generalization on Right Ideals of Prime Rings with α-Derivations. Journal of the Institute of Science and Technology 9 4 2190–2199.
IEEE
[1]B. Albayrak, “A Generalization on Right Ideals of Prime Rings with α-Derivations”, Iğdır Üniv. Fen Bil Enst. Der., c. 9, sy 4, ss. 2190–2199, Ara. 2019, doi: 10.21597/jist.531856.
ISNAD
Albayrak, Barış. “A Generalization on Right Ideals of Prime Rings with α-Derivations”. Journal of the Institute of Science and Technology 9/4 (01 Aralık 2019): 2190-2199. https://doi.org/10.21597/jist.531856.
JAMA
1.Albayrak B. A Generalization on Right Ideals of Prime Rings with α-Derivations. Iğdır Üniv. Fen Bil Enst. Der. 2019;9:2190–2199.
MLA
Albayrak, Barış. “A Generalization on Right Ideals of Prime Rings with α-Derivations”. Journal of the Institute of Science and Technology, c. 9, sy 4, Aralık 2019, ss. 2190-9, doi:10.21597/jist.531856.
Vancouver
1.Barış Albayrak. A Generalization on Right Ideals of Prime Rings with α-Derivations. Iğdır Üniv. Fen Bil Enst. Der. 01 Aralık 2019;9(4):2190-9. doi:10.21597/jist.531856