IJPAM: Volume 83, No. 2 (2013)
PRIME GAMMA NEAR-RINGS WITH DERIVATIONS
Isamiddin S. Rakhimov
, Kalyan Kumar Dey
, Akhil Chandra Paul
Department of Mathematics
FS, & Institute for Mathematical Research (INSPEM)
Universiti Putra Malaysia
MALAYSIA
Department of Mathematics
Rajshahi University
Rajshahi, 6205, BANGLADESH




FS, & Institute for Mathematical Research (INSPEM)
Universiti Putra Malaysia
MALAYSIA

Rajshahi University
Rajshahi, 6205, BANGLADESH
Abstract. Let be a prime
near-ring with the center
. The objective of this paper is to study derivations on
. We prove two results:
(a) Let be 2-torsion free and let
and
be
derivations on
such that
is also a
derivation. Then
or
if and only
if
for all
,
,
;
(b) Let be an integer greater than 1,
be
!-torsion free, and
be a derivation with
. Then
.
Received: June 13, 2012
AMS Subject Classification: 16W25, 16Y30, 16Y99
Key Words and Phrases: commutative ring, non commutative ring, derivation
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DOI: 10.12732/ijpam.v83i2.1 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 83
Issue: 2