Hereditary torsion theories and Auslander-Reiten sequences

DOI10.1007/BF01371402zbMath0527.16020OpenAlexW2023307808MaRDI QIDQ595756

Dieter Buenermann

Publication date: 1983

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01371402

zbMATH Keywords

Auslander-Reiten sequencesalmost split sequencehereditary torsion theoryartin algebracategory of finitely generated modulesindecomposable projectiveleft exact radicaltorsion-free modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Artinian rings and modules (associative rings and algebras) (16P20) Representation theory of associative rings and algebras (16Gxx)

Related Items (2)

Preprojective components of wild tilted algebras ⋮ Invariants for classes of indecomposable representations of finite posets

Cites Work

• Unnamed Item
• Almost split sequences in subcategories
• Auslander-Reiten Sequences for "Nice" Torsion Theories of Artinian Algebras
• Representation theory of artin algebras iii almost split sequences
• Representation theory of artin algebras IV¹⁾Invariants given by almost split sequences

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