Prime Ideals in Differential Operator Rings. Catenarity
DOI10.2307/2001486zbMath0692.16002OpenAlexW4243106311MaRDI QIDQ3033918
Kenneth A. Brown, Thomas H. Lenagan, Kenneth R. Goodearl
Publication date: 1990
Full work available at URL: https://doi.org/10.2307/2001486
derivationsaffine algebralattice of idealscatenaritylattice isomorphismformal differential operatorssaturated chains of prime idealscomparable primesfinite polynomial extensionsk- linear endomorphismsnoetherian k-algebra
Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Noetherian rings and modules (associative rings and algebras) (16P40) Modules, bimodules and ideals in associative algebras (16Dxx)
Related Items (6)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Differential operator rings whose prime factors have bounded Goldie dimension
- Localization and ideal theory in iterated differential operator rings
- Primitivity in differential operator rings
- Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume)
- A Goldie theorem for differentiably prime rings
- Non-commutative affine P. I. rings are catenary
- Catenarity and Gelfand-Kirillov dimension in Ore extensions
- Chains of Prime Ideals in Enveloping Algebras of Solvable Lie Algebras
- Noetherian Ore Extensions and Jacobson Rings
- Generic flatness and the nullstellensatz for ore extensions
- Localization and the AR Property
This page was built for publication: Prime Ideals in Differential Operator Rings. Catenarity