JOURNAL BROWSE
Search
Advanced SearchSearch Tips
ON SEMIDERIVATIONS IN 3-PRIME NEAR-RINGS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
ON SEMIDERIVATIONS IN 3-PRIME NEAR-RINGS
Ashraf, Mohammad; Boua, Abdelkarim;
  PDF(new window)
 Abstract
In the present paper, we expand the domain of work on the concept of semiderivations in 3-prime near-rings through the study of structure and commutativity of near-rings admitting semiderivations satisfying certain differential identities. Moreover, several examples have been provided at places which show that the assumptions in the hypotheses of various theorems are not altogether superfluous.
 Keywords
3-prime near-rings;commutativity;semiderivations;
 Language
English
 Cited by
 References
1.
M. Ashraf, A. Boua, and A. Raji, On derivations and commutativity in prime near-rings, J. Taibah Univ. Sci. 8 (2014), 301-306. crossref(new window)

2.
M. Ashraf and A. Shakir, On (${\sigma},\;{\tau}$)-derivations of prime near-rings-II, Sarajevo J. Math. 4(16) (2008), no. 1, 23-30.

3.
H. E. Bell, On derivations in near-rings. II, Nearrings, nearfields and K-loops (Hamburg, 1995), 1910-197, Math. Appl., 426, Kluwer Acad. Publ., Dordrecht, 1997.

4.
H. E. Bell, A. Boua, and L. Oukhtite, Semigroup ideals and commutativity in 3-prime near rings, Comm. Algebra 43 (2015), no. 5, 1757-1770. crossref(new window)

5.
H. E. Bell and G. Mason, On derivations in near-rings, Near-rings and near-fields (Tubingen, 1985), 31-35, North-Holland Math. Stud., 137, North-Holland, Amsterdam, 1987. crossref(new window)

6.
A. Boua and L. Oukhtite, Semiderivations satisfying certain algebraic identities on prime near-rings, Asian-Eur. J. Math. 6 (2013), no. 3, 1350043, 8 pp.

7.
G. Pilz, Near-Rings, 2nd ed., 23, North Holland/American Elsevier, Amsterdam, 1983.

8.
X. K. Wang, Derivations in prime near-rings, Proc. Amer. Math. Soc. 121 (1994), no. 2, 361-366. crossref(new window)