I-COMPACT RIGHT CHAIN DOMAINS

DOI10.1142/S0219498811005105zbMath1247.16044OpenAlexW2094168838MaRDI QIDQ3117917

Günter Törner, Hans-Heinrich Brungs

Publication date: 1 March 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498811005105

zbMATH Keywords

valuation ringscompletionsordered semigroupsright conesright chain domains\(I\)-compactnessHahn-Neumann power series rings

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Noncommutative local and semilocal rings, perfect rings (16L30) Ideals in associative algebras (16D25) Ordered groups (06F15) Ore rings, multiplicative sets, Ore localization (16U20) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Cites Work

• Unnamed Item
• Ideal theory of right cones and associated rings
• Untersuchungen zur arithmetischen Theorie der Körper. (Die Theorie der Teilbarkeit in allgemeinen Körpern. I-III.)
• Right chain domains with prescribed value holoid
• A counter-example in ring theory and homological algebra
• Primes and Right Ideals in Right Cones
• On a Question of Frege's about Right-Ordered Groups

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