Torsion in the Picard group and extension of scalars

DOI10.1016/0022-4049(88)90092-8zbMath0655.13005OpenAlexW2038748952WikidataQ105596764 ScholiaQ105596764MaRDI QIDQ1109079

Robert M. Guralnick, Hyman Bass

Publication date: 1988

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(88)90092-8

zbMATH Keywords

torsion elementsPicautomorphisms of Azumaya algebras

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Grothendieck groups, (K)-theory and commutative rings (13D15)

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Cites Work

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• The genus of a module. II: Roiter's theorem, power cancellation and extension of scalars
• Algebras over zero-dimensional rings
• Algèbres d'Azumaya et modules projectifs
• Separable algebras over commutative rings
• Projective Modules with Free Multiples and Powers