Idempotent ideals and nonfinitely generated projective modules over integral group rings of polycyclic-by-finite groups.

DOI10.1016/j.jalgebra.2005.12.010zbMath1111.16026arXivmath/0512446OpenAlexW1982007193MaRDI QIDQ855953

Gena Puninski, Peter A. Linnell, Patrick F. Smith

Publication date: 7 December 2006

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

Full work available at URL: https://arxiv.org/abs/math/0512446

zbMATH Keywords

polycyclic-by-finite groupsintegral group ringsidempotent idealsnonfinitely generated projective modules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19)

Related Items (2)

When every projective module is a direct sum of finitely generated modules ⋮ ITERATED POWER INTERSECTIONS OF IDEALS IN RINGS OF ITERATED DIFFERENTIAL POLYNOMIALS

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