Turkish Journal of Mathematics
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?
DOI
10.3906/mat-0907-120
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
