Filtration on a Ring Make a Quasi Valuation or Valuation Ring

Year 2014, Volume: 2 Issue: 1, 18 - 22, 01.04.2014

Mohammad Hassan Anjom Shoa

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

Abstract

References

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