Graph representation of projective resolutions.

DOI10.1007/s10114-011-9100-4zbMath1254.16007OpenAlexW2146855789MaRDI QIDQ2430316

Hong-Bo Shi

Publication date: 6 April 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9100-4

zbMATH Keywords

algorithmsGröbner basesprojective resolutionspath algebrasrelation algebrasmonomial algebrasfinitistic dimensiondimension trees

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Representations of quivers and partially ordered sets (16G20) Syzygies, resolutions, complexes in associative algebras (16E05) Computational aspects of associative rings (general theory) (16Z05) Directed graphs (digraphs), tournaments (05C20) Homological dimension in associative algebras (16E10)

Related Items (2)

Finite generation of the cohomology rings for the extension algebras of monomial algebras ⋮ Homological dimensions of the extension algebras of monomial algebras.

Cites Work

• Predicting syzygies over monomial relations algebras
• Finitistic dimension of monomial algebras.
• On the finitistic dimension conjecture. I: Related to representation-finite algebras.
• On the finitistic dimension conjecture. II: Related to finite global dimension
• Computation of the finitistic dimension of monomial algebras
• Synergy in the Theories of Gröbner Bases and Path Algebras
• Constructing projective resolutions
• Finitistic Dimensions of Dual Extensions of Monomial Algebras^#
• Constructing Minimal Projective Resolutions

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