On MLGP- Rings
AL-Rafidain Journal of Computer Sciences and Mathematics,
Volume 13, Issue 2, Pages 61-66
AbstractAn ideal of a ring is called right (left) generalized pure ( -ideal)if for every , there exists , and such that ( ) . A ring is called - ring if every right maximal ideal is left - ideal . In this paper have been studied some new properties of - 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 be a local , and ring . Then :
(b) If is - ring . Then is a direct sum and for all , .
2 - Let be a local , and - ring . Then is strongly - regular if and only if i .
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