1. Module classes and the lifting property.
- Author
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Koşan, Muhammet Tamer
- Subjects
- *
TORSION theory (Algebra) , *MODULES (Algebra) , *ISOMORPHISM (Mathematics) , *MATHEMATICAL analysis , *LINEAR algebra , *SUBMODULAR functions - 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 ≤ N such that M = A ⊕ B and N ∩ 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 ? [ABSTRACT FROM AUTHOR]
- Published
- 2011
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