Categories of representations of species

DOI10.1016/0022-4049(79)90015-XzbMath0396.18004MaRDI QIDQ1253311

Daniel Simson

Publication date: 1979

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

BimodulesJacobson RadicalDivision RingsArtin AlgebraFunctor CategoryGrothendieck CategoryHereditary Pure Semisimple CategoriesProjective CoverRepresentations of Species

Mathematics Subject Classification ID

Related Items (17)

Socle reductions and socle projective modules ⋮ LOCALLY DYNKIN QUIVERS AND HEREDITARY COALGEBRAS WHOSE LEFT COMODULES ARE DIRECT SUMS OF FINITE DIMENSIONAL COMODULES ⋮ The structure of qf-3 rings with zero singular ideal^(∗) ⋮ Quasi-Artin species and rings of finite representation type ⋮ Representation-Directed Incidence Coalgebras of Intervally Finite Posets and the Tame-Wild Dichotomy ⋮ Partial Coxeter functors and right pure semisimple hereditary rings ⋮ Unnamed Item ⋮ Hom-computable coalgebras, a composition factors matrix and the Euler bilinear form of an Euler coalgebra. ⋮ WHEN ARE ARTINIAN PI-RINGS ARTIN ALGEBRAS? ⋮ Flat Comodules and Perfect Coalgebras ⋮ Flat Covers and Flat Representations of Quivers ⋮ A characterization of hereditary rings of finite representation type ⋮ Vector space categories, right peak rings and their socle projective modules ⋮ Coxeter Diagrams and the Köthe’s Problem ⋮ Modules ⋮ Hereditary coalgebras and representations of species. ⋮ Right pure semisimple \(l\)-hereditary PI-rings

Cites Work

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• On algebras of finite representation type
• Representations of K-species and bimodules
• Rings with several objects
• On the Dimension of Modules and Algebras (III): Global Dimension
• Indecomposable representations of graphs and algebras
• On pure global dimension of locally finitely presented Grothendieck categories
• On pure semi-simple Grothendieck categories II
• Representation Theory of Artin Algebras I
• Representation Theory of Artin Algebras II
• On the Dimension of Modules and Algebras, VII. Algebras with Finite-Dimensional Residue-Algebras

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