Filtration on a Ring Make a Quasi Valuation or Valuation Ring

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

Keywords

• Quasi valuation ring,Valuation ring,Filtered ring,Strongly filtered ring

Filtration on a ring make a quasi valuation or valuation ring

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