JP Journal of Algebra, Number Theory and Applications
Volume 38, Issue 3, Pages 249 - 260
(June 2016) http://dx.doi.org/10.17654/NT038030249 |
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DEDEKIND DOMAINS AND DEDEKIND MODULES
Elvira Kusniyanti, Hanni Garminia and Pudji Astuti
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Abstract: This work studies an interconnection between Dedekind domains and Dedekind modules. The interconnection will be investigated as an adoption of Noetherian and hereditary properties. Particularly, we show that a domain is a Dedekind domain if and only if its finitely generated torsion free uniform modules are Dedekind. The obtained result includes the case of noncommutative rings. |
Keywords and phrases: Dedekind domains, Dedekind modules, uniform modules. |
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