Abelian categories, almost split sequences, and comodules

DOI10.1090/S0002-9947-04-03571-8zbMath1068.18010MaRDI QIDQ4671899

Idun Reiten, M. M. Kleiner

Publication date: 27 April 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Abelian categories, Grothendieck categories (18E10) Categorical embedding theorems (18E20)

Related Items (9)

Localising embeddings of comodule categories with applications to tame and Euler coalgebras ⋮ Category of $n$-FCP-gr-projective modules with respect to special copresented graded modules ⋮ Coxeter transformation and inverses of Cartan matrices for coalgebras. ⋮ Representation-Directed Incidence Coalgebras of Intervally Finite Posets and the Tame-Wild Dichotomy ⋮ Unnamed Item ⋮ Hom-computable coalgebras, a composition factors matrix and the Euler bilinear form of an Euler coalgebra. ⋮ The Euler characteristic and Euler defect for comodules over Euler coalgebras ⋮ Localization and colocalization in tilting torsion theory for coalgebras ⋮ Gorenstein Hereditary Coalgebras

Cites Work

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• Hereditary coalgebras
• Coherent Rings and Homologically Finite Subcategories.
• Des catégories abéliennes

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