Modules that have a supplement in every torsion extension
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Abstract (EN)
In this paper, over dedekind commutative domain we define the concept of TE-modules, which is adapted from Zöschinger's modules with the property (E) over local (or, non-local) dedekind domains. In this paper, we provide some properties of these modules. We prove that a direct summand of a TE-module is a TE-module. We show that a class of TE-modules is closed under extensions. We also prove that, over a non-local ring, if every submodule of a module M is a TE-module, then it is cofinitely supplemented.
Author
Fatih Göçer
How to Cite
Fatih Göçer (Master Thesis). Modules that have a supplement in every torsion extension, 2016, Amasya University.
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