The Cartan Matrix as an Indicator of Finite Global Dimension for Artinian Rings

DOI10.2307/2044504zbMath0575.16009OpenAlexW4232857354MaRDI QIDQ3695413

Birge Zimmermann Huisgen, W. D. Burgess, Kent R. Fuller

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2044504

zbMATH Keywords

Cartan matrixArtinian ringleft serial ringsfinite global dimensionCartan homomorphism

Mathematics Subject Classification ID

Homological dimension in associative algebras (16E10) Artinian rings and modules (associative rings and algebras) (16P20) Representation theory of associative rings and algebras (16Gxx)

Related Items

Finitistic dimensions of serial-like rings, Reducing homological conjectures by \(n\)-recollements, Algebras from diagrams, The Cartan matrix of a centralizer algebra., The graded Cartan matrix and global dimension of 0-relations algebras, On the classification of higher Auslander algebras for Nakayama algebras, The Cartan determinant and generalizations of quasihereditary rings, Cartan matrices and Grothendieck groups of stable categories, On the finitistic dimension conjecture for artinian rings, A note on homological properties of Nakayama algebras, Global dimension of Noetherian serial rings., On the Generalized Nakayama Conjecture and the Cartan Determinant Problem, A reduction formula for the Cartan determinant problem for algebras, On the cyclic homology of monomial relation algebras, Some homological conjectures for quasi-stratified algebras., Retractions and Gorenstein homological properties., On Quasihereditary Rings

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