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

DOI10.1142/S0219498820500309zbMath1454.16031arXiv1705.05227OpenAlexW2799346933WikidataQ114614736 ScholiaQ114614736MaRDI QIDQ5108398

Vladimir V. Bavula

Publication date: 4 May 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.05227

zbMATH Keywords

projective dimensionWeyl algebraglobal dimensionprime idealJacobian algebraweak global dimensionflat dimensionalgebra of polynomial integro-differential operatorslocalization of a ring

Mathematics Subject Classification ID

Associative rings of functions, subdirect products, sheaves of rings (16S60) Noncommutative local and semilocal rings, perfect rings (16L30) Graded rings and modules (associative rings and algebras) (16W50) Rings of differential operators (associative algebraic aspects) (16S32) Homological dimension in associative algebras (16E10) Ore rings, multiplicative sets, Ore localization (16U20) Associative rings of fractions and localizations (16S85)

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