Jacobi-Zariski long nearly exact sequences for associative algebras

Autor:	Cibils, Claude, Lanzilotta, Marcelo, Marcos, Eduardo N., Solotar, Andrea
Rok vydání:	2020
Předmět:	Mathematics - K-Theory and Homology Mathematics - Rings and Algebras Mathematics - Representation Theory 18G25 16E40 16E30 18G15
Druh dokumentu:	Working Paper
DOI:	10.1112/blms.12516
Popis:	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. Comment: A typo in the degree of the torsion vector spaces of the first page of the spectral sequence is corrected. The degree where the exact long sequence ends at Theorem 6.5 is therefore updated. To appear in Bulletin of the London Mathematical Society
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.05017 Zobrazit plný text záznamu View this record from Arxiv