Endomorphism algebras of generators over symmetric algebras.

DOI10.1016/j.jalgebra.2011.02.031zbMath1236.16014OpenAlexW2013557485MaRDI QIDQ645263

Ming Fang, Steffen Koenig

Publication date: 8 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.02.031

zbMATH Keywords

bimodulesdualitiesfinite-dimensional algebrasgeneratorssymmetric algebrasdominant dimensioninjective resolutions

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Quasi-Frobenius rings (16L60) Representations of associative Artinian rings (16G10) Bimodules in associative algebras (16D20) Homological dimension in associative algebras (16E10)

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Cites Work

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• Quasi-Frobenius rings and generalizations. QF-3 and QF-1 rings. Notes by Claus Michael Ringel
• Young modules and filtration multiplicities for Brauer algebras.
• Cohomological stratification of diagram algebras.
• Schur functors and dominant dimension
• Relative homology and representation theory III
• Specht Filtrations for Hecke Algebras of Type A
• The Classification of Algebras by Dominant Dimension
• Double centralizer properties, dominant dimension, and tilting modules