On the cyclic homology of monomial relation algebras

DOI10.1016/0021-8693(92)90125-6zbMath0765.16003OpenAlexW2016063534MaRDI QIDQ1208098

Kiyoshi Igusa, Dan Zacharia

Publication date: 16 May 1993

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90125-6

zbMATH Keywords

global dimensionradicalrelative cyclic homologymonomial relation algebra

Mathematics Subject Classification ID

Related Items (9)

Cyclic homology and the determinant of the Cartan matrix ⋮ Jordan-Hölder theorems for derived categories of derived discrete algebras ⋮ THE FIRST COHOMOLOGY GROUP OF THE TRIVIAL EXTENSION OF A MONOMIAL ALGEBRA ⋮ A proof of the strong no loop conjecture. ⋮ Hochschild homology and truncated cycles ⋮ A note on homological properties of Nakayama algebras ⋮ Resolution quiver and cyclic homology criteria for Nakayama algebras ⋮ A counterexample to the \(\phi \)-dimension conjecture ⋮ On the Hochschild (co)homology of a monomial algebra given by a cyclic quiver and two zero-relations

Cites Work

• On the Cartan matrix of an Artin algebra of global dimension two
• Projective resolutions over Artin algebras with zero relations
• The Cartan map on categories of graded modules
• Cyclic homology and the Lie algebra homology of matrices
• Cyclic homology, derivations, and the free loopspace
• Notes on the no loops conjecture
• Cyclic homology and the determinant of the Cartan matrix
• The Cartan Matrix as an Indicator of Finite Global Dimension for Artinian Rings
• The graded Cartan matrix and global dimension of 0-relations algebras
• Syzygy Pairs in a Monomial Algebra

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