Constructing torsion pairs

DOI10.1006/jabr.1996.0310zbMath0863.16023OpenAlexW1971480337MaRDI QIDQ1814969

Otto Kerner, Ibrahim Assem

Publication date: 9 June 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.0310

zbMATH Keywords

torsion theoriesfinite-dimensional algebrashereditary algebrasrepresentation theory of algebraspreinjective modulestorsion modulestorsion-free modulespartial tilting modulescategories of finitely generated right modulespostprojective modulesrepresentation-infinite hereditary algebrassplitting torsion pairs

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Module categories in associative algebras (16D90) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (14)

Perpendicular categories of infinite dimensional partial tilting modules and transfers of tilting torsion classes. ⋮ The left and the right parts of a module category. ⋮ On one-sided torsion pair ⋮ Derived equivalences for hereditary Artin algebras ⋮ Tilting classes over wild hereditary algebras. ⋮ On the Representation Dimension of Tame Cluster Tilted Algebras ⋮ Some characterisations of supported algebras. ⋮ Reduced torsion pairs ⋮ Decomposition of torsion pairs on module categories. ⋮ Partial cotilting modules and the lattices induced by them ⋮ Ext-projectives in suspended subcategories ⋮ Split t-structures and torsion pairs in hereditary categories ⋮ Constructing tilting modules ⋮ Minimal approximations, orbital elementary modules, and orbit algebras of regular modules

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