## Homology, Homotopy and Applications

### Hochschild homology with coefficients in an $H$-unital ideal

#### Abstract

Let $k$ be a field and $I$ an $H$-unital two-sided ideal of an associative unital $k$-algebra $A$. Then, based on Wodzicki's work, we show that the Hochschild homology groups of $A$ with coefficients in $I$ are isomorphic to the Hochschild homology groups of $I$.

#### Article information

Source
Homology Homotopy Appl., Volume 11, Number 2 (2009), 1-4.

Dates
First available in Project Euclid: 1 September 2009

Permanent link to this document
https://projecteuclid.org/euclid.hha/1251832589

Mathematical Reviews number (MathSciNet)
MR2529229

Zentralblatt MATH identifier
1252.16007

#### Citation

Donadze, Guram; Ladra, Manuel. Hochschild homology with coefficients in an $H$-unital ideal. Homology Homotopy Appl. 11 (2009), no. 2, 1--4. https://projecteuclid.org/euclid.hha/1251832589