Valuations and semi-valuations of graded domains

DOI10.1007/BF01450795zbMath0442.13002MaRDI QIDQ1143443

Jack Ohm, David F. Anderson

Publication date: 1981

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163503

zbMATH Keywords

group of divisibilitylexicographic extensiontwisted group ringsextensions of valuationBezout domaingraded domainssemi-valuationKaplansky-Jaffard theoremresidue fields of valuations

Mathematics Subject Classification ID

Group rings (16S34) Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05)

Related Items (9)

Divisorial ideals and invertible ideals in a graded integral domain ⋮ On \(f\)-rings that are not formally real ⋮ Homogenization and dimension in Λ - graded rings ⋮ Divisibility properties of twisted semigroup rings ⋮ Graded-valuation domains ⋮ The divisibility orders of \(\mathbb{Z}^n\) ⋮ Grading integral domains ⋮ Monoid rings which are valuation rings ⋮ On chains of purely transcendental field extensions

Cites Work

• Divisibility properties in semigroup rings
• Graded krull domains
• Nonsplitting Sequences of Value Groups
• J-Noetherian Integral Domains with 1 in the Stable Range
• Semi-Valuations and Groups of Divisibility
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