S-groupes des classes d'un ordre arithmétique

DOI10.1016/0021-8693(82)90250-2zbMath0482.16020OpenAlexW2079246877MaRDI QIDQ1162572

Jacques Queyrut

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90250-2

zbMATH Keywords

semisimple algebraslocally projective modulesGrothendieck groups of ringsmodules of finite type

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (11)

Opérations d'Adams et groupe des classes d'algèbre de groupe. (Adams operations and class groups of group algebras) ⋮ Localization and class groups of module categories with exactness defects ⋮ Pfaffian and discriminant ⋮ Relative Galois structure of rings of integers. ⋮ Structures galoisienne des anneaux d'entiers d'extensions sauvagement ramifiees. I ⋮ Structure galoisienne des anneaux d'entiers d'extensions sauvagement ramifiées. II ⋮ Grothendieck groups of dihedral and quaternion group rings ⋮ Operations on ring structures preserved by normalized automorphisms of group rings ⋮ Self-duality and torsion Galois modules in number fields ⋮ Galois structure of infinite places in a number field ⋮ Relative normal bases in some cyclotomic extensions

Cites Work

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• Structures galoisienne des anneaux d'entiers d'extensions sauvagement ramifiees. I
• Structure galoisienne des anneaux d'entiers d'extensions sauvagement ramifiées. II
• Reduced norms in the K-theory of orders
• Some exact sequences in algebraic K-theory
• Genera and decompositions of lattices over orders
• Representation rings
• Locally free modules over arithmetic orders.
• Arithmetic and Galois module structure for tame extensions.
• Grothendieck Groups of Orders in Semisimple Algebras
• Two Remarks About Hereditary Orders
• On the Commutator Group of a Simple Algebra
• Über die multiplikative Gruppe einer $\mathfrak{p}$-adischen Divisionsalgebra

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