Triads.

DOI10.1016/J.JALGEBRA.2004.07.007zbMath1079.16008OpenAlexW4211198449MaRDI QIDQ1763894

Wolfgang Rump

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.07.007

zbMATH Keywords

triangulated categoriesalmost split sequencesAuslander-Reiten translationsAuslander-Reiten triangles\(L\)-functorstriadic categories

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70)

Related Items (15)

A note on derived categories of the second kind ⋮ Auslander's formula and correspondence for exact categories ⋮ Flat covers in abelian and in non-abelian categories ⋮ The abelian closure of an exact category ⋮ Exact categories, big Cohen-Macaulay modules and finite representation type ⋮ Flat endofinite modules, prime ideals, and duality. ⋮ Auslander–Reiten theory in extriangulated categories ⋮ Exact categories and infinite tilting ⋮ Analysis of a problem of Raikov with applications to barreled and bornological spaces ⋮ Almost fully decomposable infinite rank lattices over orders. ⋮ Triadic categories without localization ⋮ Elementary varieties and existence of flat covers ⋮ Abelian quotients of categories of short exact sequences ⋮ Exact Krull-Schmidt categories with finitely many indecomposables ⋮ Locally finitely presented categories of sheaves

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