Representation-finite algebras and multiplicative bases

DOI10.1007/BF01389052zbMath0575.16012OpenAlexW2008379608WikidataQ105624163 ScholiaQ105624163MaRDI QIDQ1064389

L. Salmerón, Raymundo Bautista, A. V. Roiter, Peter Gabriel

Publication date: 1985

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143254

zbMATH Keywords

generators fundamental group Jacobson radical universal cover lattice of ideals multiplicative basis representation-finite algebras normalization theorem algebra cohomology base category indecomposable finite dimensional modules indecomposable projective right ideals local primitive orthogonal idempotents locally representation finite mild algebra normed presentation ray-category

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simplicial sets and complexes in algebraic topology (55U10) Functor categories, comma categories (18A25) Representation theory of associative rings and algebras (16Gxx)

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