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- Title
-Modules.
- Authors
Ding, Nanqing; Ibrahim, Yasser; Yousif, Mohamed; Zhou, Yiqiang
- Abstract
A module is called a -module if, whenever and are submodules of with and is a homomorphism with , we have . The class of -modules contains the -modules as well as the dual-square-free (DSF) modules. Furthermore, a -module is called pseudo-discrete if is also a lifting module. In this paper, we study the -, the DSF, and the pseudo-discrete modules, and show that a pseudo-discrete module is clean iff it has the finite exchange property iff it has the full exchange property.
- Subjects
MODULES (Algebra); HOMOMORPHISMS; DISCRETE systems; MATHEMATICAL analysis; GROUP theory
- Publication
Journal of Algebra & Its Applications, 2017, Vol 16, Issue 9, p-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498817501663