학술저널
SOME CHARACTERIZATIONS OF DEDEKIND MODULES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 30, No. 1
-
2017.0253 - 59 (7 pages)
- 2
In this article, we generalize the concepts of several classes of domains (which are related to a Dedekind domain) to a torsion-free module and it is shown that for a faithful multiplication module over an integral domain, we characterize Dedekind modules, cyclic submodule modules, and discrete valuation modules in terms of factorable modules and a sort of Euclidean algorithm.
1. Introduction
2. Factorable modules
3. Euclidean-like characterizations
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