On MLGP- Rings

An ideal K of a ring R is called right (left) generalized pure (GP -ideal) if for every a K, there exists m Z+, and b K such that am= amb ( am = b am) . A ring R is called MLGP-ring if every right maximal ideal is left GP-ideal. In this paper have been studied some new properties of MLGP-rings and the relation between this rings and strongly -regular rings some of the main result of the present work are as follows: 1- Let R be a local ,MLGP and SXM ring. Then: (a) J (R) = 0. (b) If R is NJ-ring. Then r(am) is a direct sum and for all R, m Z+. 2- Let R be a local, SXM and NJ-ring . Then R is strongly -regular if and only if R i LGP.