Cocovers and tilting modules

DOI10.1017/S0305004100067931zbMath0686.16022OpenAlexW2095839780MaRDI QIDQ4204298

Jeremy Rickard, Aidan Schofield

Publication date: 1989

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100067931

zbMATH Keywords

indecomposable direct summandstilting modulestilting complexesalgebras of finite representation type

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Grothendieck groups, (K)-theory, etc. (16E20) Representation theory of associative rings and algebras (16Gxx) Homological methods in associative algebras (16Exx)

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A criterion for quasi-heredity and the characteristic module ⋮ Partial tilting modules and covariantly finite subcategories ⋮ Characteristic modules of quasi-hereditary algebras with three simples ⋮ Tilting modules and exceptional sequences for a family of dual extension algebras ⋮ Tilting quivers for BB‐tilted algebras ⋮ Infinitely generated Gorenstein tilting modules ⋮ \(n\)-term silting complexes in \(\mathsf{K}^b (\mathrm{proj}(\Lambda))\) ⋮ \(m\)-cluster categories and \(m\)-replicated algebras. ⋮ Partial tilting modules over \(m\)-replicated algebras. ⋮ Quasi-hereditary algebras and tilting modules ⋮ Complements to the Almost Complete TiltingA^(m)-Modules ⋮ On Partial Tilting Complexes ⋮ Gluing Silting Objects ⋮ Relative homology and representation theory II

Cites Work

• On the derived category of a finite-dimensional algebra
• Tilting modules of finite projective dimension
• Preprojective modules over Artin algebras
• Piecewise Hereditary Algebras
• Tilted Algebras