Volume no :13, Issue no: 1, March (2015)

Journal of Algebra, Number Theory: Advances and Applications

ADDITIVITY OF ELEMENTARY MAPS ON GENERALIZED MATRIX ALGEBRAS

Author's: Driss Aiat Hadj Ahmed and Rachid Tribak
Pages: [1] - [12]
Received Date: February 26, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100121460

Abstract

Let be a commutative ring with identity, and be two algebras (maybe without identity) over Let be an be a and be the generalized matrix algebra. In this paper, it is proved that under some conditions, every is an elementary map on and both M and are surjective. Then both M and are additive.

Keywords

additive map, generalized matrix algebra, additivity of elementary maps.