Torsion Theories and Tilting Modules
From MaRDI portal
Publication:3669584
DOI10.1112/blms/16.5.518zbMath0519.16016OpenAlexW2035171680MaRDI QIDQ3669584
Publication date: 1984
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/blms/16.5.518
tilting modulestorsion theoriestorsion classtorsion free classcategory of finitely generated modules over artin algebra
Finite rings and finite-dimensional associative algebras (16P10) 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
The left and the right parts of a module category. ⋮ A construction of Gorenstein projective $\tau $-tilting modules ⋮ The Catalan combinatorics of the hereditary artin algebras ⋮ On torsion theories induced by tilting modules ⋮ Relative torsion classes, relative tilting, and relative silting modules ⋮ Some characterisations of supported algebras. ⋮ Relative cluster tilting objects in triangulated categories ⋮ Tilting torsion-free classes in the category of comodules ⋮ Unnamed Item ⋮ The Bongartz's theorem on the homotopy category ⋮ -PERPENDICULAR WIDE SUBCATEGORIES ⋮ Relative homological dimensions in recollements of triangulated categories ⋮ On subcategories closed under predecessors and the representation dimension. ⋮ Tilting modules and a theorem of Hoshino ⋮ Co-t-structures, cotilting and cotorsion pairs ⋮ Tilting preenvelopes and cotilting precovers in general abelian categories ⋮ Introduction to τ-tilting theory ⋮ Representation dimension and tilting. ⋮ Tilting-connected symmetric algebras. ⋮ Representable equivalences are represented by tilting modules ⋮ Self-orthogonal \(\tau\)-tilting modules and tilting modules ⋮ *-MODULES, TILTING, AND ALMOST ABELIAN CATEGORIES ⋮ Tilting Modules Arising from Two-Term Tilting Complexes ⋮ Wide subcategories are semistable ⋮ -tilting theory ⋮ Lattice structure of Weyl groups via representation theory of preprojective algebras ⋮ Dynamical combinatorics and torsion classes ⋮ Contravariantly finite subcategories closed under predecessors. ⋮ A silting theorem ⋮ Torsion pairs and quasi-abelian categories ⋮ Cluster structures for 2-Calabi–Yau categories and unipotent groups ⋮ FROM TRISECTIONS IN MODULE CATEGORIES TO QUASI-DIRECTED COMPONENTS ⋮ ICE-closed subcategories and wide \(\tau \)-tilting modules ⋮ Tilting modules over Auslander algebras of Nakayama algebras with radical cube zero ⋮ Relations for Grothendieck groups and representation-finiteness ⋮ Minimal inclusions of torsion classes ⋮ Lattice structure of torsion classes for path algebras ⋮ Torsion pairs for quivers and the Weyl groups ⋮ τ-Tilting modules over triangular matrix artin algebras ⋮ ν-Stable τ-Tilting Modules ⋮ Support τ-tilting modules and separating splitting tilting triples ⋮ Support $\tau $-tilting modules and recollements ⋮ A BRICK VERSION OF A THEOREM OF AUSLANDER ⋮ On quiver Grassmannians and orbit closures for gen-finite modules