Morphisms determined by objects: the case of modules over Artin algebras.
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Publication:2441072
zbMath1288.16012arXiv1110.6734MaRDI QIDQ2441072
Publication date: 21 March 2014
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.6734
Module categories in associative algebras (16D90) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20)
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The Auslander-Reiten duality via morphisms determined by objects ⋮ Functors and morphisms determined by subcategories ⋮ Auslander's defect formula and a commutative triangle in an exact category ⋮ Almost split triangles and morphisms determined by objects in extriangulated categories ⋮ Morphisms determined by objects under Galois \(G\)-covering theory ⋮ Higher Auslander-Reiten sequences via morphisms determined by objects ⋮ Auslander-Reiten n -exangles and morphisms determined by objects in n -exangulated categories ⋮ Gorenstein orders of finite lattice type ⋮ Minimal right determiners of irreducible morphisms in algebras of type \(\mathbb{A}_n\) ⋮ A note on morphisms determined by objects ⋮ Minimal right determiners of irreducible morphisms in tree string algebras ⋮ Left determined morphisms and free realisations ⋮ The first Brauer–Thrall conjecture over one-dimensional local rings ⋮ Morphisms Determined by Objects in Triangulated Categories ⋮ The existence of n-Auslander–Reiten sequences via determined morphisms
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