Global and krull dimension of schmidt differentialoperator rings

DOI10.1080/00927878908823856zbMath0688.16040OpenAlexW2088240816MaRDI QIDQ4206914

D. R. Malm

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00927878908823856

zbMATH Keywords

additive mapscommuting derivationsformal differential operator ringsglobal and Krull dimensionsSchmidt differential operator ringsSchmidt higher derivationSchmidt higher differential operator rings

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Cites Work

• Krull Dimension of Differential Operator Rings IV-Multiple Derivations
• Global Dimension of Differential Operator Rings. III
• HEIGHT PLUS DIFFERENTIAL DIMENSION IN COMMUTATIVE NOETHERIAN RINGS

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