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On Valuation Rings |
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| Authors: | Mohammed Kabbour |
| Affiliation: | Faculty of Science and Technology of Fez, Department of Mathematics , University S.M. Ben Abdellah Fez , Fez, Morocco |
| Abstract: | In this article, we provide necessary and sufficient conditions for R = A ∝ E to be a valuation ring where E is a non-torsion or finitely generated A-module. Also, we investigate the (n, d) property of the valuation ring. |
| Keywords: | Arithmetical ring (n d)-ring Trivial extension Valuation ring |