Finite generation of the cohomology rings for the extension algebras of monomial algebras

DOI10.1142/S0219498823500718OpenAlexW4205941822MaRDI QIDQ5880506

Hong-Bo Shi

Publication date: 3 March 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823500718

zbMATH Keywords

cohomology ringdimension treetopdowndual and trivially twisted extensionsminimal projective resolution graph

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Representations of associative Artinian rings (16G10) Syzygies, resolutions, complexes in associative algebras (16E05) Computational aspects of associative rings (general theory) (16Z05)

Cites Work

• Finiteness conditions on the Yoneda algebra of a monomial algebra.
• Projective resolutions over Artin algebras with zero relations
• Finitistic dimensions of finite dimensional monomial algebras
• Finiteness conditions on the Ext-algebra of a cycle algebra.
• The cohomology ring of a monomial algebra.
• The alternating syzygy behavior of monomial algebras
• Finitistic dimension of monomial algebras.
• Global dimensions of dual extension algebras
• Homological dimensions of the extension algebras of monomial algebras.
• Graph representation of projective resolutions.
• Noetherianity and Ext.
• Constructing Minimal Projective Resolutions

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