Representations of Finite Posets Over Discrete Valuation Rings

DOI10.1080/00927870701405173zbMath1142.16003OpenAlexW2149370140MaRDI QIDQ5426300

Daniel Simson, David M. Arnold

Publication date: 12 November 2007

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

Full work available at URL: https://doi.org/10.1080/00927870701405173

zbMATH Keywords

representationsfinite partially ordered setsmodules over discrete valuation rings

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) Torsion-free groups, finite rank (20K15)

Related Items (7)

Representations of finite partially ordered sets over commutative Artinian uniserial rings. ⋮ 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.] ⋮ Almost completely decomposable groups and unbounded representation type. ⋮ Adjoint functors, projectivization, and differentiation algorithms for representations of partially ordered sets. ⋮ \((1,2)\)-groups with \(p^3\)-regulator quotient. ⋮ Indecomposable and isomorphic objects in the category of monomial matrices over a local ring ⋮ Indecomposable (1,3)-Groups and a matrix problem

Cites Work

• Endo-wild representation type and generic representations of finite posets.
• Submodule categories of wild representation type.
• Representations of finite partially ordered sets over commutative Artinian uniserial rings.
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