Dubrovin valuation rings and v-topologies

DOI10.1080/00927870008827150zbMath0970.16019OpenAlexW2141334242MaRDI QIDQ4519207

Oscar Ricardo Janesch

Publication date: 8 July 2001

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870008827150

zbMATH Keywords

absolute valuesidealsDubrovin valuation ringsequivalent topologiesright bounded subsetstopological nilpotent elementstopological simple Artinian rings

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Topological and ordered rings and modules (16W80) Artinian rings and modules (associative rings and algebras) (16P20)

Cites Work

• Dubrovin valuation rings and Henselization
• Valuation rings in finite-dimensional division algebras
• Non-commutative valuation rings and semi-hereditary orders
• Local Rings Whose Maximal Ideal is Principal as a Right Ideal
• On strictly minimal topological division rings

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