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Filtration on a Ring Make a Quasi Valuation or Valuation Ring

Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.2, No. 1)

Publication Date:

Authors : ;

Page : 18-22

Keywords : Quasi valuation ring Valuation ring Filtered ring Strongly filtered ring;

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Abstract

In this paper we show that if R is a filtered ring then we can define a quasi valuation ring. And there exists a valuation ring if R is some kind of filtered ring. Then we prove some properties and relations between filtered ring and quasi valuation ring and valuation ring.

Last modified: 2014-11-21 04:29:17