Lattices over subhereditary orders and socle-projective modules

DOI10.1016/0021-8693(89)90084-7zbMath0665.16004OpenAlexW2094440485MaRDI QIDQ1115938

Klaus W. Roggenkamp

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90084-7

zbMATH Keywords

Auslander-Reiten quiverAuslander-Reiten sequenceshereditary algebraclassical orderpreprojective components\(\Lambda\)-latticesBrauer-Thrallgeneralized Bäckström orderrepresentation-finite subhereditary orderssocle-projective modules

Mathematics Subject Classification ID

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Representation theory of associative rings and algebras (16Gxx)

Related Items (6)

A homological characterization of the category of socle projective modules ⋮ Projective resolutions and the global dimension of subhereditary orders ⋮ A narrow over-ring adjustment functor ⋮ Three-partite subamalgams of tiled orders of finite lattice type ⋮ Two-point differentiation for general orders ⋮ A reduced Tits quadratic form and tameness of three-partite subamalgams of tiled orders

Cites Work

• Vector space categories, right peak rings and their socle projective modules
• Representations of orders and vector space categories
• Socle-determined categories of representations of Artinian hereditary tensor algebras
• Diagrammatic methods in the representation theory of orders
• Almost split sequences in subcategories
• Auslander-Reiten Sequences for "Nice" Torsion Theories of Artinian Algebras
• Tilted Algebras
• Indecomposable representations of graphs and algebras
• Coherent Rings and Fp -Injective Modules
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