The Auslander and Ringel-Tachikawa Theorem for submodule embeddings

Simple item page
dc.creatorMoore, Audrey
dc.date2009-03-30
dc.date.accessioned2026-07-07T12:58:13Z
dc.date.available2026-07-07T12:58:13Z
dc.descriptionAuslander and Ringel-Tachikawa have shown that for an artinian ring R of finite representation type, every R-module is the direct sum of finitely generated indecomposable R-modules. In this paper, we will adapt this result to finite representation type full subcategories of the module category of an artinian ring which are closed under subobjects and direct sums and contain all projective modules. In particular, the results in this paper hold for subspace representations of a poset, in case this subcategory is of finite representation type.
dc.descriptionPreprint
dc.identifierhttps://arxiv.org/abs/0903.5274
dc.identifierhttp://arxiv.org/abs/0903.5274
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225171
dc.subjectRepresentation Theory
dc.subject16G60
dc.titleThe Auslander and Ringel-Tachikawa Theorem for submodule embeddings
dc.typetext

Files

Collections

arXiv