The graded Cartan matrix and global dimension of 0-relations algebras

DOI10.1017/S0013091500026742zbMath0608.16028MaRDI QIDQ3748442

W. D. Burgess

Publication date: 1987

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

zbMATH Keywords

global dimensionquivergrading0-relations algebragraded Cartan matrices

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10) Representation theory of associative rings and algebras (16Gxx)

Related Items (5)

Finitistic dimensions of serial-like rings ⋮ On the cyclic homology of monomial relation algebras ⋮ Squared cycles in monomial relations algebras. ⋮ A note on block triangular presentations of rings and finitistic dimension. ⋮ Finitistic dimensions of semiprimary rings

Cites Work

• On the Cartan matrix of an Artin algebra of global dimension two
• The Cartan map on categories of graded modules
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• Algebras of cohomologically finite dimension
• Graphs with Relations, Coverings and Group-Graded Algebras
• The Cartan Matrix as an Indicator of Finite Global Dimension for Artinian Rings

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