Rings whose pure-injective right modules are direct sums of lifting modules


GUIL ASENSIO P. A. , Tutuncu D. K.

JOURNAL OF ALGEBRA, cilt.383, ss.78-84, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

Özet

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.