Rings Whose Pure-Injective Right Modules Are Direct Sums of Lifting Modules
Date
2013
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It is shown that every pure-injective right module over a ring R is a direct sum of lifting modules if and only if R is a ring of finite representation type and right local type. In particular, we deduce that every left and every right pure-injective R-module is a direct sum of lifting modules if and only if R is (both sided) serial artinian. Several examples are given to show that this condition is not left right symmetric. (C) 2013 Elsevier Inc. All rights reserved.
