Quaternionic bundles on algebraic spheres

DOI10.1216/rmjm/1181072084zbMath0864.16001OpenAlexW2038459077MaRDI QIDQ1815515

Richard G. Swan

Publication date: 12 June 1997

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol26-2/CONT26-2/CONT26-2.html

zbMATH Keywords

finitely generated modulescoordinate ringsstably free nonfree modulestopological vector bundles on spheres

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Free, projective, and flat modules and ideals in associative algebras (16D40)

Related Items (2)

Algebraic vector bundles on the 2-sphere ⋮ Rings with internal cancellation.

Cites Work

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• K-theory of quadric hypersurfaces
• Fibrés algébriques sur une surface réelle. (Algebraic fibers on a real surface)
• On the structure of projective modules over polynomial rings in the case of a noncommutative coefficient ring
• Projective modules over polynomial rings over division rings
• Projective modules over quaternion algebras
• Algebraic vector bundles on the 2-sphere
• Generating modules efficiently: Theorems from algebraic K-theory
• Polynomial maps from spheres to spheres
• Projective modules over certain rings of quotients of affine rings
• Cancellation of Azumaya algebras
• Vector Bundles and Projective Modules
• Topological Examples of Projective Modules

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