Quasi valuation and valuation derived from filtered ring and properties

2014/06/17 by Mohammad Hassan Anjom SHoa, SHoa, M. H. Anjom, Mohammad Hossein Hosseini +1
Mathematics · #13-XX #16-XX #Advanced Topics in Algebra #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1406.4523

openalex publication_date 2014/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

• Filtered Ring Derived from Discrete Valuation Ring and Its Properties
• Filtered colimits of complete intersection algebras
• Extensions of valuation rings containing \bf Q as limits of smooth algebras
• Valuation rings of dimension one as limits of smooth algebras
• On valuation rings