Infinite radicals in standard Auslander-Reiten components

DOI10.1006/JABR.1994.1150zbMath0809.16016OpenAlexW2064327160MaRDI QIDQ1330049

Shiping Liu

Publication date: 17 August 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1150

zbMATH Keywords

Jacobson radicalfinite representation typeAuslander-Reiten quiverfinite dimensional algebrastandard componentmesh-categorycategory of finitely generated left \(A\)- modules

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10)

Related Items (15)

On generalized standard Auslander-Reiten components having only finitely many non-directing modules. ⋮ The structure and homological properties of generalized standard Auslander-Reiten components ⋮ On the composition factors of indecomposable modules in almost cyclic coherent Auslander-Reiten components. ⋮ Cycle-finite algebras ⋮ On indecomposable modules without selfextensions ⋮ Characterizations of tame algebras with separating families of almost cyclic coherent components ⋮ On algebras of generalized standard semiregular type ⋮ On the additive categories of generalized standard almost cyclic coherent Auslander-Reiten components. ⋮ Degenerations for indecomposable modules and tame algebras ⋮ A characterization of the hereditary categories derived equivalent to some category of coherent sheaves on a weighted projective line ⋮ Degenerations for indecomposable modules in almost cyclic coherent Auslander-Reiten components. ⋮ On the degree of irreducible morphisms. ⋮ Degrees of irreducible morphisms in standard components. ⋮ The composite of irreducible morphisms in standard components. ⋮ Standard components of a Krull-Schmidt category

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