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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 57 | Number 1 | Year 2018 | Article Id. IJMTT-V57P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P506

(1,α)- Derivations in Prime г - near Rings


Dr. L.Madhuchelvi and B.Dhivya
Abstract

The purpose of this paper is to investigate derivations satisfying certain differential identities on prime gamma near rings. Some well-known results characterizing commutativity of prime gamma near rings by derivations have been generalized.

Keywords
prime г - near ring, (1,α)- derivation, commutativity.
References

[1] Afrah Mohammad Ibraheem.on commutativity of prime gamma near rings. IQSR Journal of mathematics (IQSR-JM), vol. 10, pp. 68-71, Mar-Apr 2014.
[2 ]H.E Bell and G. Mason.On derivations in near-rings. North – Holland Math. Stud., vol. 137, pp. 31-35, 1987.
[3] L. Madhuchelvi.On Generalized Derivations in г - Near Ring Int Jr.of Mathematical sciences and Applications, vol. 6, No.1, ISSN N0:2230-9888, jan-jun 2016.
[4] L. Madhuchelvi. On Generalized Derivation in 3-prime г - Near Ring Int. Jr. of Mathematical Sciences and Applications, vol. 6, No.2, pp. 901-908, dec. 2016
[5] Mustafa Uckun, Mehmat Ali ztrk and Young Bae Jun. On prime gamma-near-rings with derivations. Commun. Korean Math. Soc., 19(3), pp. 427-433, 2004.
[6] Mustafa kazaz and Akin Alkan. Two-sided г - α - derivations in prime and semiprime г - near-rings commun. Korean Math. soc., vol. 23, No.4, pp. 469-477, 2008.
[7] N. Nobusawa. On generalization of the ring theory Osaka Journal Math., vol. 1, pp. 81-89, 1964.
[8]Satyanarayana Bhavanari.Contributions to near – ring theory Doctoral Thesis, Nagarjuna University, India, 1984.
[9]C. Selvaraj and L. Madhuchelvi. On Strongly prime spectrum of г - near rings. Bulletin of the Institute of Mathematics Academia Sinica (New series), vol. 6, No. 3, pp. 329-345, 2011.
[10]Young Uk Cho and Young Bae Jun. Gamma -Derivations in Prime and Semiprime Gamma-near-Rings. Indian J. pure appl Math., vol. 33, No. 10, pp. 1489-1494, 2002.

Citation :

Dr. L.Madhuchelvi and B.Dhivya, "(1,α)- Derivations in Prime г - near Rings," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 1, pp. 49-55, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P506

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