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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 50 | Number 3 | Year 2017 | Article Id. IJMTT-V50P529 | DOI : https://doi.org/10.14445/22315373/IJMTT-V50P529

On Commutativity of *-Prime Near-Rings with Derivations


Mohammad Aslam Siddeeque
Abstract

The primary purpose of this paper is to introduce the notion of *-prime near-rings, which is a special class of distributive near-rings and to investigate their commutativity.

Keywords
Analogues of some ring theoretic results, regarding commutativity have been obtained in the setting of *-prime near-rings satisfying some properties and identities involving derivations.
References

[1] Pilz G., Near-rings, 2nd ed., North Holland /American Elsevier, Amsterdam, (1983).
[2] Ferrero, C.C. and Ferrero, G., Near-rings-Some Developments Linked to Semigroups and Groups, Kluwer Academic Publishers Dordrecht, The Netherlands, 2002.
[3] Bell H.E. and Mason G., On derivations in near-rings, Near-rings and Near-fields (G. Betsch editor), North-Holland / American Elsevier, Amsterdam, 137, (1987), 31 - 35.
[4] Oukhtite, L. and Salhi, S., On commutativity of *-prime rings, Glasnik Matematicki, 41, no.1, (2006), 57 - 64.
[5] Oukhtite, L. and Salhi, S., Derivations as homomorphisms and antihomomorphisms in *-prime rings, Algebras, Groups and Geometries, 23, no.1, (2006), 67 - 72.
[6] Oukhtite, L. and Salhi, S., Derivations and commutativity of *-prime rings, Int. J. Contemp. Math. Sci., Vol. 1, no.9, (2006), 439 - 448.
[7] Oukhtite, L. and Salhi, S., On Derivations in *-prime rings, Int. J. Algebra, Vol. 1, no.5, (2007), 241 - 246.

Citation :

Mohammad Aslam Siddeeque, "On Commutativity of *-Prime Near-Rings with Derivations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 50, no. 3, pp. 174-185, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V50P529

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