A reduction formula for the Cartan determinant problem for algebras

DOI10.1007/BF01258052zbMath0797.16009MaRDI QIDQ689668

Yamagata, Kunio

Publication date: 15 November 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Cartan matrixGrothendieck groupfinite global dimensionreduction formulaCartan determinant problemleft artinian ring

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Homological dimension in associative algebras (16E10) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (2)

The Cartan determinant and generalizations of quasihereditary rings ⋮ Some homological conjectures for quasi-stratified algebras.

Cites Work

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• On the Cartan matrix of an Artin algebra of global dimension two
• The Cartan map on categories of graded modules
• Quasi-hereditary algebras
• Graded Artin algebras
• A generalization of heredity ideals
• Algebras of cohomologically finite dimension
• The Cartan Matrix as an Indicator of Finite Global Dimension for Artinian Rings
• On the Generalized Nakayama Conjecture and the Cartan Determinant Problem
• A Characterization of Artinian Rings whose Endomorphism Rings have Finite Global Dimension

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