Tilting Modules and Torsion Theories

DOI10.1112/blms/14.4.334zbMath0486.16019OpenAlexW2001485002MaRDI QIDQ3946299

Mitsuo Hoshino

Publication date: 1982

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/14.4.334

zbMATH Keywords

indecomposable modulestorsion theorytilting moduleAuslander-Reiten sequenceExt-projective modulescategory of finitely generated right modules

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Centralizing and normalizing extensions (16S20) Representation theory of associative rings and algebras (16Gxx) Homological methods in associative algebras (16Exx)

Related Items (14)

Tilting classes over wild hereditary algebras. ⋮ On torsion theories induced by tilting modules ⋮ Relative torsion classes, relative tilting, and relative silting modules ⋮ Relative cluster tilting objects in triangulated categories ⋮ The relationship between homological properties and representation theoretic realization of artin algebras ⋮ Iterated tilted algebras of affine type ⋮ Tilting modules and a theorem of Hoshino ⋮ Introduction to τ-tilting theory ⋮ Decomposition of torsion pairs on module categories. ⋮ Representable equivalences are represented by tilting modules ⋮ Tilting Modules Arising from Two-Term Tilting Complexes ⋮ -tilting theory ⋮ Splitting torsion pairs over pure semisimple rings. ⋮ On \(t\)-structures and torsion theories induced by compact objects

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