|
Abstract
|
Article Information:
The &theta-Centralizers of Semiprime Gamma Rings
M.F. Hoque, H.O. Roshid and A.C. Paul
Corresponding Author: M.F. Hoque
Submitted: November 19, 2012
Accepted: May 07, 2013
Published: December 05, 2013 |
Abstract:
|
Let M be a 2-torsion free semiprime Γ-ring satisfying a certain assumption and θ be an endomorphism of M. Let T:&rarrM be an additive mapping such that T(x&alphay&betax) = &theta(x)&alphaT(y)&beta&theta(x) holds for all x,y&isinM and α,β&isinΓ. Then we prove that T is a &theta-centralizer. We also show that T is a &theta-centralizer if M contains a multiplicative identity 1. 2010 Mathematics Subject Classification, Primary 16N60, Secondary 16W25, 16U80.
Key words: Centralizer, &theta-centralizer, Jordan centralizer, Jordan &theta-centralizer , left centralizer, left &theta-centralizer, semiprime Γ-ring
|
|
Abstract
|
PDF
|
HTML |
|
Cite this Reference:
M.F. Hoque, H.O. Roshid and A.C. Paul, . The &theta-Centralizers of Semiprime Gamma Rings. Research Journal of Applied Sciences, Engineering and Technology, (22): 4129-4137.
|
|
|
|
 |
ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
 |
| Information |
|
|
|
|
| Sales & Services |
|
|
|
|
