Research Article

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

Volume: 9 Number: 4 December 1, 2019
Journal of the Institute of Science and Technology Cover
Journal of the Institute of Science and Technology
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A Generalization on Right Ideals of Prime Rings with α-Derivations

Abstract

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.

Keywords

References

  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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

December 1, 2019

Submission Date

February 25, 2019

Acceptance Date

June 15, 2019

Published in Issue

Year 2019 Volume: 9 Number: 4

DOI

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

IZ

https://izlik.org/JA97GF36AM

Cite

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. J. Inst. Sci. and Tech. 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 (December 1, 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”, J. Inst. Sci. and Tech., vol. 9, no. 4, pp. 2190–2199, Dec. 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 (December 1, 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. J. Inst. Sci. and Tech. 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, vol. 9, no. 4, Dec. 2019, pp. 2190-9, doi:10.21597/jist.531856.
Vancouver
1.Barış Albayrak. A Generalization on Right Ideals of Prime Rings with α-Derivations. J. Inst. Sci. and Tech. 2019 Dec. 1;9(4):2190-9. doi:10.21597/jist.531856