Applications of one-point extensions to compute the \(A_\infty\)-(co)module structure of several ext (resp., Tor) groups

DOI10.1016/j.jpaa.2018.05.014zbMath1401.16007OpenAlexW2805235253MaRDI QIDQ1621586

Estanislao Herscovich

Publication date: 9 November 2018

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.2018.05.014

zbMATH Keywords

twisted tensor product\(A_\infty\)-modulegeneralized Koszul algebra

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Differential graded algebras and applications (associative algebraic aspects) (16E45) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)

Related Items (3)

Yoneda \(A_\infty\)-algebras and lattices of vector spaces ⋮ A simple note on the Yoneda (co)algebra of a monomial algebra ⋮ On the Merkulov construction of \(A_\infty\)-(co)algebras

Cites Work

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• Higher symplectic reflection algebras and non-homogeneous \(N\)-Koszul property.
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• Methods of graded rings.
• Using torsion theory to compute the algebraic structure of Hochschild (co)homology
• \(d\)-Koszul algebras.
• On the multi-Koszul property for connected algebras.
• Higher Koszul algebras and \(A\)-infinity algebras.
• On the construction of 𝐴_∞-structures
• Koszulity for nonquadratic algebras.

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