Rank varieties for a class of finite-dimensional local algebras.

DOI10.1016/j.jpaa.2007.02.006zbMath1184.16012OpenAlexW1979057128MaRDI QIDQ995611

Miles Holloway, Karin Erdmann, David John Benson

Publication date: 3 September 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2007.02.006

zbMATH Keywords

stable Auslander-Reiten quiversrank varietiesfinite-dimensional modulestruncated polynomial algebrasinfinitely generated modulesDade lemmafinite-dimensional local algebrasprojectivity of modules

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Modular representations and characters (20C20) Representations of associative Artinian rings (16G10)

Related Items

Varieties for modules of quantum elementary Abelian groups. ⋮ Hypersurface support and prime ideal spectra for stable categories ⋮ Rank varieties for Hopf algebras. ⋮ Modules of constant Jordan type over quantum complete intersections ⋮ On support varieties for Lie superalgebras and finite supergroup schemes ⋮ The representation dimension of quantum complete intersections. ⋮ Cohomology of twisted tensor products. ⋮ On \(\ell\)-parabolic Hecke algebras of symmetric groups ⋮ On support varieties and tensor products for finite dimensional algebras ⋮ The Avrunin-Scott theorem for quantum complete intersections. ⋮ Cohomology of some local selfinjective algebras ⋮ Tensor ideals and varieties for modules of quantum elementary abelian groups ⋮ HYPERSURFACE SUPPORT FOR NONCOMMUTATIVE COMPLETE INTERSECTIONS

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