ON DISTRIBUTIVE MODULES AND LOCALLY DISTRIBUTIVE RINGS
Citation：
K.R.Fuller,Xue Weimin.ON DISTRIBUTIVE MODULES AND LOCALLY DISTRIBUTIVE RINGS[J].Chinese Annals of Mathematics B,1991,12(1):26~32
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Authors：
K.R.Fuller; Xue Weimin
Abstract：
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 eogenerator have idenfcical diagrams.
