Irreducible morphisms, the Gabriel-valued quiver and colocalizations for coalgebras.

DOI10.1155/IJMMS/2006/47146zbMath1171.16008MaRDI QIDQ2469008

Daniel Simson

Publication date: 1 February 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55922

zbMATH Keywords

coalgebrasbilinear formsinjective comodulescategories of left comodulescolocalisationstame comodule typewild comodule typeGabriel-valued quiversradicals of categories of injective socle-finite comodules

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20)

Related Items

Localising embeddings of comodule categories with applications to tame and Euler coalgebras ⋮ Tilting torsion-free classes in the category of comodules ⋮ Valued Gabriel quiver of a wedge product and semiprime coalgebras. ⋮ Coxeter transformation and inverses of Cartan matrices for coalgebras. ⋮ Representation-Directed Incidence Coalgebras of Intervally Finite Posets and the Tame-Wild Dichotomy ⋮ Some Remarks on Localization in Coalgebras ⋮ Serial coalgebras and their valued Gabriel quivers. ⋮ Hom-computable coalgebras, a composition factors matrix and the Euler bilinear form of an Euler coalgebra. ⋮ (*)-serial coalgebras. ⋮ Localization and colocalization in tilting torsion theory for coalgebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linear kompakte Moduln und Ringe. II
• On the structure of pointed coalgebras
• Colocalization on Grothendieck categories with applications to coalgebras
• Localising embeddings of comodule categories with applications to tame and Euler coalgebras
• Hereditary coalgebras and representations of species.
• Linear kompakte Moduln und Ringe
• Coalgebras, comodules, pseudocompact algebras and tame comodule type
• Some categorical remarks on the representation theory of coalgebras
• IDEMPOTENTS AND MORITA-TAKEUCHI THEORY
• Indecomposable Coalgebras, Simple Comodules, and Pointed Hopf Algebras
• Des catégories abéliennes