On the finitistic dimension conjecture for artinian rings

DOI10.1007/BF02567662zbMath0785.16004OpenAlexW2013325477WikidataQ123151143 ScholiaQ123151143MaRDI QIDQ1191454

Kent R. Fuller, Manuel Saorín

Publication date: 27 September 1992

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

Full work available at URL: https://eudml.org/doc/155687

zbMATH Keywords

idempotentprojective dimensionsleft artinian ringsfinite dimensional monomial algebrasfinitely generated left \(R\)-modulesleft finitistic dimension

Mathematics Subject Classification ID

Homological dimension (category-theoretic aspects) (18G20) Homological dimension in associative algebras (16E10) Artinian rings and modules (associative rings and algebras) (16P20)

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Cites Work

• Predicting syzygies over monomial relations algebras
• Finitistic dimensions of finite dimensional monomial algebras
• Algebras from diagrams
• Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
• Finitistic dimension of Artinian rings with vanishing radical cube
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• The Cartan Matrix as an Indicator of Finite Global Dimension for Artinian Rings
• Syzygy Pairs in a Monomial Algebra