On the cup product of singular Hochschild cohomology

DOI10.1007/s00013-022-01752-yzbMath1506.16012OpenAlexW4282976501MaRDI QIDQ2166348

Yu Wang

Publication date: 24 August 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-022-01752-y

zbMATH Keywords

cup productYoneda productsingular Hochschild cohomology

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40)

Cites Work

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• Singular Hochschild cohomology via the singularity category
• The cohomology structure of an associative ring
• Deriving DG categories
• The Hilton-Heckmann argument for the anti-commutativity of cup products
• Algebra Extensions and Nonsingularity
• Gerstenhaber algebra and Deligne’s conjecture on the Tate–Hochschild cohomology
• INVARIANCE OF THE GERSTENHABER ALGEBRA STRUCTURE ON TATE-HOCHSCHILD COHOMOLOGY
• Hochschild Cohomology for Algebras

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