Projective modules over free groups are free

DOI10.1016/0021-8693(64)90016-XzbMath0145.26604MaRDI QIDQ2523905

Hyman Bass

Publication date: 1964

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

zbMATH Keywords

associative rings

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40)

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Cites Work

• Unnamed Item
• On the Lusternik-Schnirelmann category of abstract groups
• Projective modules
• Free ideal rings
• TRIVIALITY OF VECTOR BUNDLES OVER THE AFFINE SPACE K ²
• Rings With a Weak Algorithm
• Noncommutative Unique Factorization Domains
• Modules Over Dedekind Rings and Valuation Rings