International Journal of Nonlinear Analysis and Applications
Right Γ-n-derivations in prime Γ-near-rings
Document Type : Research Paper
Author
University of Baghdad, Department of mathematics College of science , Iraq.
Abstract
The main purpose of this paper is to study and investigate some results of right Γ-n-derivation on prime Γ-near-ring G which force G to be a commutative ring.
Keywords
[1] M. Ashraf. A. Ali and S. Ali, (σ, τ )-derivations on prime near rings, Arch. Math. (Brno), 40(3) (2004)281–286.
[2] M. Asraf. and M.A. Siddeeque, On permuting n-derivations in near-rings, Commun.Kor. Math. Soc.28 (4) (2013)
697-707.
[3] M. Asraf, M.A. Siddeeque and N. Parveen, On semigroup ideals and n-derivations in near-rings, Science Direct
Journal of Taibah University for Science, 9 (2015) 126-132.
[4] M. Asraf and M.A. Siddeeque, On generalized n-derivations in near-rings, Palestine journal of mathematics, 3
(2004) 468-480.
[5] M. Asci. Γ − (σ, τ )-derivation on Gamma Near Ring, International Math Forum, 2 (3) (2007) 97-102.
[6] H. E. Bell, On derivations in near-rings. II. In Near rings, near fields and K-loops (Hamburg,1995),Kluwer Acad.
Publ., volume 426 of Math. (1997) 191–197.
[7] Y. U. Cho. and Y. B. Jun. , Gamma-derivations in prime and semiprime gamma-near rings , Indian J. Pure
Appl. Math., 33(10) (2002) 1489–1494.
[8] L. Madhuchelvi, On Generalized Derivations in Γ - Near Ring Int Jr.of Mathematical sciences and Applications,
ISSN N0, 6 (1) (2016) 2230-9888.
[9] R. Ravi, V.K. Bhat and k. Neetu , Commutativity of prime Γ-Near Rings with Γ-(σ, τ )-derivation, Math , 25
(2009) 165-173.
[2] M. Asraf. and M.A. Siddeeque, On permuting n-derivations in near-rings, Commun.Kor. Math. Soc.28 (4) (2013)
697-707.
[3] M. Asraf, M.A. Siddeeque and N. Parveen, On semigroup ideals and n-derivations in near-rings, Science Direct
Journal of Taibah University for Science, 9 (2015) 126-132.
[4] M. Asraf and M.A. Siddeeque, On generalized n-derivations in near-rings, Palestine journal of mathematics, 3
(2004) 468-480.
[5] M. Asci. Γ − (σ, τ )-derivation on Gamma Near Ring, International Math Forum, 2 (3) (2007) 97-102.
[6] H. E. Bell, On derivations in near-rings. II. In Near rings, near fields and K-loops (Hamburg,1995),Kluwer Acad.
Publ., volume 426 of Math. (1997) 191–197.
[7] Y. U. Cho. and Y. B. Jun. , Gamma-derivations in prime and semiprime gamma-near rings , Indian J. Pure
Appl. Math., 33(10) (2002) 1489–1494.
[8] L. Madhuchelvi, On Generalized Derivations in Γ - Near Ring Int Jr.of Mathematical sciences and Applications,
ISSN N0, 6 (1) (2016) 2230-9888.
[9] R. Ravi, V.K. Bhat and k. Neetu , Commutativity of prime Γ-Near Rings with Γ-(σ, τ )-derivation, Math , 25
(2009) 165-173.
)
Volume 12, Issue 2
November 2021Pages 1653-1658
- Receive Date: 15 March 2021
- Revise Date: 17 April 2021
- Accept Date: 20 June 2021