摘要
Distributive modules over artinian rings are characterized via module diagrams,andit is shown that a left artinian ring is(two-sided)locally distributive in case its leftindecomposable injective modules and projective modules are distributive.This latter resultis used to show that a locally distributive artinian ring and the endomorphism ring of itsminimal cogenerator have identical diagrams.
Distributive modules over artinian rings are characterized via module diagrams, and it is shown that a left artinian ring is (two-sided) locally distributive in case its left indecomposable injective modules and projective modules are distributive. This latter result is used to show that a locally distributive artinian ring and the endomorphism ring of its minimal cogenerator have identical diagrams.
