The Category of Morphisms Between Projective Modules

DOI10.1081/AGB-200034145zbMath1081.16025MaRDI QIDQ3158387

Raymundo Bautista

Publication date: 25 January 2005

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

zbMATH Keywords

projective modulesalmost split sequencesArtin algebrasstable categoriesexact structurescategories of morphisms

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10) Projectives and injectives (category-theoretic aspects) (18G05)

Related Items (14)

On sectional paths in a category of complexes of fixed size ⋮ Hall algebras associated to complexes of fixed size ⋮ On the composition of three irreducible morphisms in the bounded homotopy category ⋮ Determination of some almost split sequences in morphism categories ⋮ Acyclic quantum cluster algebras via Hall algebras of morphisms ⋮ On Hom-spaces of tame algebras. ⋮ Morphisms in the infinite radical of the bounded derived category ⋮ A bijection triangle in extriangulated categories ⋮ Almost split sequences for complexes of fixed size. ⋮ On the type of a category of complexes of fixed size and the strong global dimension ⋮ A preprojective Auslander-Reiten component for the socle projective modules of some right-peak algebras ⋮ On the degree in categories of complexes of fixed size ⋮ Quantum cluster characters of Hall algebras revisited ⋮ One-parameter families of modules for tame algebras and bocses.

Cites Work

• The almost split sequence starting with a simple module
• Stable equivalence preserves representation type
• Almost split sequences for relatively projective modules
• A CORRESPONDENCE OF ALMOST SPLIT SEQUENCES BETWEEN SOME CATEGORIES^*
• On Tame Algebras and Bocses
• Tame Algebras and Generic Modules
• Higher algebraic K-theory: I
• Representation theory of artin algebras iii almost split sequences

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