Global dimensions of dual extension algebras

DOI10.1007/BF02567802zbMath0851.16003MaRDI QIDQ1911196

Changchang Xi

Publication date: 24 November 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156107

zbMATH Keywords

global dimensiondual extensionsfinite-dimensional basic algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items

Koszulity and Koszul modules of dual extension algebras ⋮ Finite generation of the cohomology rings for the extension algebras of monomial algebras ⋮ Finitistic dimension of properly stratified algebras. ⋮ The Ext-algebra of standard modules over dual extension algebras ⋮ Jordan derivations of generalized one point extensions ⋮ Tilting modules and exceptional sequences for a family of dual extension algebras ⋮ On the global dimension of quasi–hereditary algebras with triangular decomposition ⋮ Cohomological reduction by split pairs. ⋮ THE FINITISTIC DIMENSION CONJECTURE AND RELATIVELY PROJECTIVE MODULES ⋮ FINITISTIC DIMENSIONS OF TRIVIALLY TWISTED EXTENSIONS OF MONOMIAL ALGEBRAS ⋮ Finitistic Dimensions of Dual Extensions of Monomial Algebras^# ⋮ A construction of algebras with arbitrary finite global dimensions ⋮ Homological dimensions of the extension algebras of monomial algebras. ⋮ Characteristic tilting modules and Ringel duals

Cites Work

• Tame algebras and integral quadratic forms
• A construction of algebras with large global dimensions
• BGG algebras and the BGG reciprocity principle
• Quasi-hereditary algebras which are dual extensions of algebras
• Ringel duals of quasi-hereditary algebras
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