Publication: Generalized extending modules via exchange and clean properties
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Authors
Authors
Tercan, Adnan
Leroy, A
Lomp, C
LopezPermouth, S
Oggier, F
Advisor
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Publisher:
Amer Mathematical Soc
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Volume Title
Abstract
A module is called extending or CS provided that every submodule is essential in a direct summand. There have been investigations of several generalized extending conditions in the literature. In this survey paper, we focus on the exchange property on some generalized extending modules. It is an open problem whether extending condition with exchange property implies cleanness or not. We mention some observations on the former problem to construct a counterexample as well as new type of open problems which are replaced by extending with generalized extending conditions.
Description
Bu çalışma, 12-15 Haziran 2017 tarihleri arasında Lens[Fransa]’da düzenlenen 5th International Conference Noncommutative Rings and their Applications’da bildiri olarak sunulmuştur.
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Keywords
Decompositions, Rings, Extending modules, Continuous modules, C-11-modules, Pi-extending modules, Exchange property, Clean rings, Science & technology, Physical sciences, Mathematics