Consistent diagonalization, representations, and lattices

DOI10.1016/0021-8693(91)90282-DzbMath0738.16001OpenAlexW2081358358MaRDI QIDQ1174631

Stephen P. Corwin, Edward Lee Green

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90282-d

zbMATH Keywords

hereditary orderlattice systemssimple algebracomplete discrete valuation domainfinite dimensional \(K\)-spacefull \(R\)-lattices

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Representations of orders, lattices, algebras over commutative rings (16G30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Cites Work

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• Representation-finite algebras and multiplicative bases
• Almost split sequences in subcategories
• Graded Artin algebras
• Representation theory of graded Artin algebras
• Integral representations and diagrams
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• Graphs with Relations, Coverings and Group-Graded Algebras
• Relations for Grothendieck Groups of Artin Algebras
• The Number of Indecomposable Sequences Over an Artin Algebra of Finite Type
• Indecomposable representations of graphs and algebras
• Modules with cores and amalgamations of indecomposable modules

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