Finiteness conditions on the Ext-algebra of a cycle algebra.

DOI10.1016/j.jalgebra.2004.08.022zbMath1165.16005OpenAlexW1975772162MaRDI QIDQ875916

Gabriel Davis

Publication date: 16 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.08.022

zbMATH Keywords

finite-dimensional algebrasquiversmonomial algebrasmonomial relationscycle algebrasfinitely generated Ext-algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of quivers and partially ordered sets (16G20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (5)

Finite generation of the cohomology rings for the extension algebras of monomial algebras ⋮ Finite generation of Ext for a generalization of \(D\)-Koszul algebras. ⋮ Finiteness conditions on the Yoneda algebra of a monomial algebra. ⋮ The Ext-algebra and associated monomial algebra of a finite dimensional \(K\)-algebra ⋮ Noetherianity and Ext.

Cites Work

• Projective resolutions over Artin algebras with zero relations
• Finitistic dimensions of finite dimensional monomial algebras
• The cohomology ring of a monomial algebra.
• The alternating syzygy behavior of monomial algebras

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