Quadratic bimodules and quadratic orders.

DOI10.1016/j.jalgebra.2004.01.030zbMath1070.16017OpenAlexW2010875614MaRDI QIDQ1775531

Osamu Iyama

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.01.030

zbMATH Keywords

tame representation typequadratic extensionsbimodule problems

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Module categories in associative algebras (16D90) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Bimodules in associative algebras (16D20) Preadditive, additive categories (18E05)

Cites Work

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• Auslander-Reiten species of Bäckström orders
• Tame algebras and integral quadratic forms
• Tame biserial algebras
• Diagrammatic methods in the representation theory of orders
• Representations of K-species and bimodules
• Integral representations and diagrams
• Maps between representations of clans
• Prinjective modules, propartite modules, representations of bocses and lattices over orders
• Matrix reductions for artinian rings, and an application to rings of finite representation type
• Radical embeddings and representation dimension.
• Bass orders in non semisimple algebras
• Modules with decompositions that complement direct summands
• Generalized Brauer tree orders
• On Tame Algebras and Bocses
• Prinjective Modules, Reflection Functors, Quadratic Forms, and Auslander-Reiten Sequences
• Classification of Bass orders.
• Walking around the Brauer tree
• Indecomposable representations of graphs and algebras
• Functorial Filtrations II: Clans and the Gelfand Problem

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