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, M. T (2011). Module classes and the lifting property. Turkish Journal of Mathematics 35 (3): 379-389. https://doi.org/10.3906/mat-0907-120
