Invariants for classes of indecomposable representations of finite posets

DOI10.1016/0021-8693(92)90260-SzbMath0747.16008MaRDI QIDQ1186767

David M. Arnold, C. I. Vinsonhaler

Publication date: 28 June 1992

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

zbMATH Keywords

invariantsfinite posetAuslander-Reiten translatesindecomposable representationsrepresentations of posetscategory of representationsCoxeter correspondencesstrongly indecomposable finite rank Butler groups

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Torsion-free groups, finite rank (20K15) Abelian groups (20K99)

Related Items

Algebraic \(K\)-theory of poset representations, Representations of finite posets and near-isomorphism of finite rank Butler groups, Representations of lattices in additive categories, Balanced and cobalanced representations of posets

Cites Work

• Hereditary torsion theories and Auslander-Reiten sequences
• Tame algebras and integral quadratic forms
• Almost split sequences in subcategories
• Duality and invariants for Butler groups
• Representations of finite posets and valuated groups
• Serial rings and finitely presented modules
• Ext in pre-Abelian categories
• Coxeter transformations and representations of partially ordered sets
• Invariants for a Class of Torsion-Free Abelian Groups
• Indecomposable representations of graphs and algebras
• Representation theory of artin algebras iii almost split sequences
• Stable module theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item