Year: 2012
Type: preprint
Abstract: We introduce the notions of t-lifting modules and t-dual Baer modules, which are generalizations of lifting modules. It is shown that an amply supplemented module $M$ is t-lifting if and only if $M$ is t-dual Baer and a t-$\mathcal{K}$-module. We also prove that, over a right perfect ring $R$, every noncosingular $R$-module is injective if and only if every $R$-module is t-dual Baer if and only if every $R$-module is t-lifting if and only if every injective $R$-module is t-lifting.
Source: arXiv (Cornell University)
Institutions: Hacettepe University, University of Mazandaran
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Hacettepe Üniversitesi
OpenAlex ID: W2949214305