Let R be a ring. A collection of R-modules containing the zero module and closed under isomorphisms will be denoted by X. An R-module M is said to be X-lifting if for every X-submodule N of M there exists A \leq N such that M=A \oplus B and N \cap B is small in B . In the present paper, we consider the question: Can we characterize X-lifting modules via objects of the class X?
Lifting module, torsion theory
KOŞAN, MUHAMMET TAMER
"Module classes and the lifting property,"
Turkish Journal of Mathematics: Vol. 35:
3, Article 3.
Available at: https://journals.tubitak.gov.tr/math/vol35/iss3/3