A note on Grothendieck groups of group rings and orders

DOI10.1007/BF01191163zbMath0727.16007OpenAlexW1995221017MaRDI QIDQ803237

Klaus W. Roggenkamp

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01191163

zbMATH Keywords

categoryDedekind domainfinite groupgroup ringpushout diagramfinitely generated \(\Lambda \) -modulesR-orderseparable K-algebra

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Grothendieck groups (category-theoretic aspects) (18F30) (K_0) of group rings and orders (19A31)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Induced representations and projective modules
• The Grothendieck group of a classical order of finite lattice type
• Grothendieck groups of integral group rings
• Lattices over orders. II
• The Grothendieck ring of a finite group

This page was built for publication: A note on Grothendieck groups of group rings and orders