Extensions of chain rings

DOI10.1007/BF01214974zbMath0533.16017OpenAlexW2009877711WikidataQ62058684 ScholiaQ62058684MaRDI QIDQ789490

Günter Törner, Hans-Heinrich Brungs

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/173385

zbMATH Keywords

group of unitsderivationright chain ringscompletely prime idealslinearly ordered lattice of right idealsOre extension of a chain ring

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Localization and associative Noetherian rings (16P50) Integral domains (associative rings and algebras) (16U10) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items

Extensions of Valuation Rings in Central Simple Algebras ⋮ Primes of Gauss Extensions Over Crossed Product Algebras ⋮ A classification and examples of rank one chain domains ⋮ Strong right D-domains ⋮ Ore extensions over total valuation rings. ⋮ Total valuation rings of Ore extensions. ⋮ A classification of graded extensions in a skew Laurent polynomial ring. ⋮ Gauss extensions and total graded subrings for crossed product algebras. ⋮ Valuation rings in Ore extensions ⋮ A classification of graded extensions in a skew Laurent polynomial ring. II. ⋮ On the number of injective indecomposable modules

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• An Algebraically Simple Ordered Group