Turkish Journal of Mathematics
DOI
10.3906/mat-0907-120
Abstract
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 [11]. In the present paper, we consider the question: Can we characterize X-lifting modules via objects of the class X?
Keywords
Lifting module, torsion theory
First Page
379
Last Page
389
Recommended Citation
KOŞAN, MUHAMMET TAMER
(2011)
"Module classes and the lifting property,"
Turkish Journal of Mathematics: Vol. 35:
No.
3, Article 3.
https://doi.org/10.3906/mat-0907-120
Available at:
https://journals.tubitak.gov.tr/math/vol35/iss3/3
