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-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 383
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1016/j.jalgebra.2012.12.014
  • Dergi Adı: JOURNAL OF ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.78-84
  • Hacettepe Üniversitesi Adresli: Evet

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.