Filtered Ring Derived from Discrete Valuation Ring and Its Properties

M. H. Anjom Shoa, M. H. Hosseini

University of Birjand, Birjand, Iran.

DOI: 10.4236/apm.2014.43011                

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.

Keywords

Commutative Ring; Valuation Ring; Discrete Valuation Ring; Filtered Ring; Graded Ring; Filtered Module; Graded Module

Conflicts of Interest

The authors declare no conflicts of interest.

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