Syzygy Pairs in a Monomial Algebra

DOI10.2307/2047776zbMath0688.16032OpenAlexW4240328282MaRDI QIDQ4206908

Kiyoshi Igusa, Dan Zacharia

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2047776

zbMATH Keywords

indecomposable modulesmonomial algebrafinite global dimensionfinite injective dimensionsummands of syzygies of simple modules

Mathematics Subject Classification ID

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

Related Items

On the finitistic dimension conjecture. I: Related to representation-finite algebras., On the finitistic dimension conjecture. II: Related to finite global dimension, The cohomology ring of a monomial algebra., A geometric approach to the finitistic dimension conjecture, On the representation dimension and finitistic dimension of special multiserial algebras, On the finitistic dimension conjecture for artinian rings, Homological domino effects and the first finitistic dimension conjecture, On the cyclic homology of monomial relation algebras, Algebras with Large Homological Dimensions, Predicting syzygies over monomial relations algebras, Unbounded derived categories and the finitistic dimension conjecture, Modules of finite projective dimension and cocovers, A note on block triangular presentations of rings and finitistic dimension., Algebras of Finite Global Dimension, Finite generation for Hochschild cohomology of Gorenstein monomial algebras, Field-dependent homological behavior of finite dimensional algebras

Cites Work

• Projective resolutions over Artin algebras with zero relations
• Finitistic dimensions of finite dimensional monomial algebras