Homology, Homotopy and Applications

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

Guram Donadze and Manuel Ladra

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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

Subjects
Primary: 17B40: Automorphisms, derivations, other operators 17B56: Cohomology of Lie (super)algebras 18G10: Resolutions; derived functors [See also 13D02, 16E05, 18E25] 18G50: Nonabelian homological algebra 18G60: Other (co)homology theories [See also 19D55, 46L80, 58J20, 58J22] 19D55: $K$-theory and homology; cyclic homology and cohomology [See also 18G60]

Keywords
Hochschild homology $H$-unital algebra

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


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