On rings whose maximal ideals are GP-ideals

الملخص EN

This paper introduces the notion of maximal GP-ideal .We studied the class of rings whose maximal left ideal are right GP-ideal.

We call such ring MRGP-rings.

We consider a necessary and sufficient condition for MRGP-rings to be MRCP-rings.

We also study the connection between MRGP-ring, kasch ring, division ring and the strongly regular ring.