Chain categories of modules and subprojective representations of posets over uniserial algebras.

DOI10.1216/rmjm/1181070045zbMath1048.16006OpenAlexW1992450131MaRDI QIDQ1415023

Daniel Simson

Publication date: 3 December 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol32-4/CONT32-4/CONT32-4.html

zbMATH Keywords

finite dimensional algebrasfinite representation typerepresentation typesGalois covering functorstame-wild dichotomycategories of subprojective representations of posetscommutative Artinian uniserial ringsfiltered chain categories

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20)

Related Items

Submodule categories of wild representation type. ⋮ From submodule categories to the stable Auslander algebra ⋮ Gorenstein projective bimodules via monomorphism categories and filtration categories ⋮ Representations of finite partially ordered sets over commutative Artinian uniserial rings. ⋮ Monomorphism categories associated with symmetric groups and parity in finite groups. ⋮ Representation types of the category of subprojective representations of a finite poset over \(K[t/(t^m)\) and a solution of a Birkhoff type problem.] ⋮ Recollements and ladders for weighted projective lines ⋮ Monic modules and semi-Gorenstein-projective modules ⋮ Singularity categories of representations of algebras over local rings ⋮ The ``0, 1-property of exceptional objects for nilpotent operators of degree 6 with one invariant subspace ⋮ Dimension vectors of indecomposable objects for nilpotent operators of degree 6 with one invariant subspace ⋮ Representation-finite Birkhoff type problems for nilpotent linear operators ⋮ Tame-wild dichotomy of Birkhoff type problems for nilpotent linear operators. ⋮ Invariant subspaces of nilpotent linear operators, I ⋮ On Corner type endo-wild algebras. ⋮ A Note on Bruhat Decomposition ofGL(n) over Local Principal Ideal Rings ⋮ Bounded submodules of modules. ⋮ Numeric and mesh algorithms for the Coxeter spectral study of positive edge-bipartite graphs and their isotropy groups

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