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arXiv · 2009.05017

Jacobi-Zariski long nearly exact sequences for associative algebras

Claude Cibils·Marcelo Lanzilotta·Eduardo N. Marcos·Andrea Solotar
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Abstract

For an extension of associative algebras $B\subset A$ 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.

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Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos, Andrea Solotar. 2020-09-10. Jacobi-Zariski long nearly exact sequences for associative algebras. https://doi.org/10.1112/blms.12516

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