A generalization of lifting modules

• Published in: Український математичний журнал
• Date: 2014
• Main Author: Kalati, T.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166121
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A generalization of lifting modules / T.A. Kalati // Український математичний журнал. — 2014. — Т. 66, № 11. — С. 1477–1484. — Бібліогр.: 19 назв. — англ.

We introduce the notion of I -lifting modules as a proper generalization of the notion of lifting modules and present some properties of this class of modules. It is shown that if M is an I -lifting direct projective module, then S/▽ is regular and ▽=JacS, where S is the ring of all R-endomorphisms...