Title of article :
Lifting Property of the Jacobson Radical in Associative Pairs
Author/Authors :
Bingjun, Li Hunan Institute of Humanities,Science and Technology - Department of Mathematics, China , Lianggui, Feng National University of Defense Technology - Department of Mathematics and Systems Science, China
Abstract :
An ideal I in a ring R is called a lifting ideal if idempotents can be lifted modulo every left ideal contained in I. In this paper we extend this notion to the context of associative pairs and characterize when the Jacobson radical of an associative pair is a lifting idea
Keywords :
Associative pair , lifting ideal , idempotents , von Neumann regular elements
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
