The Ext-algebra and associated monomial algebra of a finite dimensional \(K\)-algebra

DOI10.1016/j.jpaa.2023.107528OpenAlexW4386790158MaRDI QIDQ6081711

Melissa DiMarco

Publication date: 26 October 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2023.107528

zbMATH Keywords

Ext-algebra\(2\)-\(d\)-determined algebraassociated monomimal algebra

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20)

Cites Work

• Unnamed Item
• Finiteness conditions on the Yoneda algebra of a monomial algebra.
• \(d\)-Koszul algebras, 2-\(d\)-determined algebras and 2-\(d\)-Koszul algebras.
• Finiteness conditions on the Ext-algebra of a cycle algebra.
• The cohomology ring of a monomial algebra.
• Multiplicative bases, Gröbner bases, and right Gröbner bases
• Projective resolutions of straightening closed algebras generated by minors
• \(d\)-Koszul algebras.
• The Ext-algebra of a representation-finite biserial algebra
• Projective resolutions of associative algebras and ambiguities.
• An algorithmic approach to resolutions
• Minimal projective resolutions
• Quotients of Koszul Algebras and 2-d-Determined Algebras
• The Yoneda Algebra of a 𝒦₂Algebra Need not be Another 𝒦₂Algebra
• On the homology of quotients of path algebras

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