The construction of almost split sequences. III: Modules over two classes of tame local algebras

DOI10.1007/BF01364137zbMath0435.16016MaRDI QIDQ1140147

M. Shahzamanian, Michael C. R. Butler

Publication date: 1980

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163352

zbMATH Keywords

finitely generated modulesalmost split sequenceindecomposable moduleirreducible morphismartin algebraAuslander-Reiten graphstame local algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Artinian rings and modules (associative rings and algebras) (16P20) Representation theory of associative rings and algebras (16Gxx) Homological methods in associative algebras (16Exx)

Related Items (11)

Modules over \(\mathfrak U_ q(\mathfrak s\mathfrak l_ 2)\) ⋮ On the vertices of modules in the Auslander-Reiten quiver of p-groups ⋮ Auslander-reiten sequences with few middle terms and applications to string algebrass ⋮ Almost split sequences for dedekind-like rings. II ⋮ On modules of finite complexity over selfinjective Artin algebras. ⋮ Remarks about the history of Abelian groups in England and Germany. ⋮ THE GRADED CENTER OF A TRIANGULATED CATEGORY ⋮ The Auslander-Reiten quiver of a finite group ⋮ On Auslander-Reiten Components of Blocks and Self-Injective Biserial Algebras ⋮ Solution to the Clebsch-Gordan problem for string algebras. ⋮ Real subpairs and Frobenius-Schur indicators of characters in 2-blocks.

Cites Work

• Unnamed Item
• Finite dimensional hereditary algebras of wild representation type
• The indecomposable representations of the dihedral 2-groups
• The Construction of Almost Split Sequences, I
• Representation theory of artin algebras IV¹⁾Invariants given by almost split sequences
• Representation theory of artin algebras v: methods for computing aimost split sequences and irreducible morphisms

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