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Filtered Ring Derived from Discrete Valuation Ring and Its Properties
University of Birjand, Birjand, Iran
University of Birjand, Birjand, Iran
- 1 University of Birjand, Birjand, Iran
- 2 University of Birjand, Birjand, Iran
Advances in Pure Mathematics·Volume 04 (2014)·Pages 71–75·Published 28 March 2014·DOI10.4236/apm.2014.43011
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Abstract
In this paper we show that if R is a discrete valuation ring, then R is a filtered ring. We prove some properties and relation when R is a discrete valuation ring.
KeywordsCommutative RingValuation RingDiscrete Valuation RingFiltered RingGraded RingFiltered ModuleGraded Module
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