On the Merkulov construction of \(A_\infty\)-(co)algebras

DOI10.1007/s11253-019-01714-8OpenAlexW2995557032MaRDI QIDQ2100604

Estanislao Herscovich

Publication date: 24 November 2022

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-019-01714-8

zbMATH Keywords

\(A_\infty\)-(co)algebras

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Differential graded algebras and applications (associative algebraic aspects) (16E45) Quadratic and Koszul algebras (16S37) Coalgebras and comodules; corings (16T15)

Related Items (2)

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

Cites Work

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• \(A\)-infinity structure on Ext-algebras.
• On a perturbation theory for the homology of the loop-space
• Applications of one-point extensions to compute the \(A_\infty\)-(co)module structure of several ext (resp., Tor) groups
• Using torsion theory to compute the algebraic structure of Hochschild (co)homology
• On the construction of 𝐴_∞-structures

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