Krull and global dimensions of Weyl algebras over division rings

DOI10.1016/0021-8693(84)90107-8zbMath0558.16002OpenAlexW1983819361MaRDI QIDQ762586

Timothy J. Hodges, Kenneth R. Goodearl, Thomas H. Lenagan

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90107-8

zbMATH Keywords

heightWeyl algebraglobal dimensionKrull dimensiondivision ringderivationfinite dimensional Lie algebraright noetherian ringfinite sequences of finitely generated u-clean R-modulesfully bounded noetherianiterated operator ringnoetherian P.I. ringsimple right R-module

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Universal enveloping (super)algebras (17B35) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Division rings and semisimple Artin rings (16Kxx)

Related Items (2)

The global dimension of the algebras of polynomial integro-differential operators 𝕀n and the Jacobian algebras 𝔸n ⋮ Unnamed Item

Cites Work

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