The algebra of integro-differential operators on a polynomial algebra

DOI10.1112/jlms/jdq081zbMath1225.16010arXiv0912.0723OpenAlexW1993293113MaRDI QIDQ5392198

Vladimir V. Bavula

Publication date: 8 April 2011

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0723

zbMATH Keywords

polynomial algebrasGelfand-Kirillov dimensiongeneralized Weyl algebrasclassical Krull dimensionweak homological dimensionnumbers of idealsalgebras of integro-differential operatorsHilbert syzygy theorem

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Growth rate, Gelfand-Kirillov dimension (16P90) Rings of differential operators (associative algebraic aspects) (16S32) Ideals in associative algebras (16D25) Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

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