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- Publisher
- Wiley
- Copyright
- © 2021 London Mathematical Society
- ISSN
- 0024-6093
- eISSN
- 1469-2120
- DOI
- 10.1112/blms.12516
- Publisher site
- See Article on Publisher Site
Abstract
For an extension of associative algebras B⊂A over a field and an A‐bimodule X, we obtain a Jacobi–Zariski long nearly exact sequence relating the Hochschild homologies of A and B, and the relative Hochschild homology, all of them with coefficients in X. This long sequence is exact twice in three. There is a spectral sequence which converges to the gap of exactness.
Journal
Bulletin of the London Mathematical Society – Wiley
Published: Dec 1, 2021
Keywords: 18G25 (primary); 16E40; 16E30; 18G15