K 0 of Skew Group Rings and Simple Noetherian Rings without Idempotents

DOI10.1112/jlms/s2-32.1.41zbMath0573.16004OpenAlexW2023939598MaRDI QIDQ3691873

Martin Lorenz

Publication date: 1985

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-32.1.41

zbMATH Keywords

trace mapfinitely generated nilpotent groupsouter automorphismsMorita contextskew group ring\(K_ 0\)Goldie rankfinitely generated projective R-modulescentral localization of group ringssimple Noetherian ringsimple skew group rings

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Grothendieck groups, (K)-theory, etc. (16E20) Group rings (16S34) Automorphisms and endomorphisms (16W20) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (6)

Unnamed Item ⋮ Unit lifting morphisms ⋮ Standard prime ideals and lying over for finite extensions of Noetherian algebras ⋮ Non-finitely generated projective modules over generalized Weyl algebras. ⋮ On isonoetherian and isoartinian modules ⋮ Artinian dimension and isoradical of modules

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