Using torsion theory to compute the algebraic structure of Hochschild (co)homology

DOI10.4310/HHA.2018.V20.N1.A8zbMath1418.16006MaRDI QIDQ1707281

Estanislao Herscovich

Publication date: 29 March 2018

Published in: Homology, Homotopy and Applications (Search for Journal in Brave)

zbMATH Keywords

Koszul algebrahomological algebra\(A_{\infty}\)-algebraYoneda algebradg algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Differential graded algebras and applications (associative algebraic aspects) (16E45) Graded rings and modules (associative rings and algebras) (16W50) Quadratic and Koszul algebras (16S37)

Related Items (13)

Exact Hochschild extensions and deformed Calabi-Yau completions ⋮ Applications of one-point extensions to compute the \(A_\infty\)-(co)module structure of several ext (resp., Tor) groups ⋮ Koszul calculus for \(N\)-homogeneous algebras ⋮ Yoneda \(A_\infty\)-algebras and lattices of vector spaces ⋮ Spectral sequences associated to deformations ⋮ On the definition of multi-Koszul modules ⋮ A simple note on the Yoneda (co)algebra of a monomial algebra ⋮ \(A_{\infty}\)-coderivations and the Gerstenhaber bracket on Hochschild cohomology ⋮ A higher homotopic extension of persistent (co)homology ⋮ THE CURVED A∞-COALGEBRA OF THE KOSZUL CODUAL OF A FILTERED DG ALGEBRA ⋮ Unnamed Item ⋮ On the Merkulov construction of \(A_\infty\)-(co)algebras ⋮ Finite generation for Hochschild cohomology of Gorenstein monomial algebras

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