Smooth PI algebras with finite divisor class group

DOI10.1090/S0002-9939-2010-10547-6zbMath1222.16012OpenAlexW2075388235MaRDI QIDQ3085050

Charudatta R. Hajarnavis, Amiram Braun

Publication date: 28 March 2011

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10547-6

zbMATH Keywords

projective dimensionglobal dimensioncliquesAzumaya algebrasdivisor class groupsPI degreessmooth PI algebrasNoetherian PI algebras

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Ideals in associative algebras (16D25) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Homological dimension in associative algebras (16E10) Localization and associative Noetherian rings (16P50) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Cites Work

• Divisor class group descent for affine Krull domains
• Noncommutative resolutions and rational singularities
• Homological properties of (graded) Noetherian PI rings
• Smooth polynomial identity algebras with almost factorial centers.
• Separable algebras over commutative rings
• Homologically Homogeneous Rings
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