@inproceedings{467ee251042744998497378e5d701578,
title = "Weak lifting modules with small radical",
abstract = "Keskin and Tribak (2005) studied the structure of weak lifting modules with small radicals over commutative noetherian (local) rings. They proved that a module M is weak lifting if and only if M is a direct sum of local modules of some special type. Such modules were further studied by Tribak (2007). In this note we study weak lifting modules M with small radical over arbitrary rings. We prove that M is an irredundant sum M =Σi∈I Mi where each Mi is local andΣi∈F Mi is a summand of M for every finite subset F of I. Moreover Σi∈F Mi = ⊕i∈F Ki with Ki local. In particular a finitely generated weak lifting module is a direct sum of local modules. This generalizes the analogous result for finitely generated lifting modules.",
keywords = "Weak lifting module",
author = "T{\"u}t{\"u}nc{\"u}, \{Derya Keskin\} and Mohamed, \{Saad H.\}",
note = "Publisher Copyright: {\textcopyright} 2010 Springer Basel AG.; International Conference on Ring and Module Theory, 2008 ; Conference date: 18-08-2008 Through 22-08-2008",
year = "2010",
doi = "10.1007/978-3-0346-0007-1\_8",
language = "English",
isbn = "9783034600064",
series = "Trends in Mathematics",
publisher = "Springer International Publishing",
pages = "129--134",
editor = "Toma Albu and Birkenmeier, \{Gary F.\} and Ali Erdoǧan and Adnan Tercan",
booktitle = "Ring and Module Theory",
address = "Switzerland",
}