Homology, Homotopy and Applications
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Hochschild homology with coefficients in an $H$-unital ideal

Guram Donadze and Manuel Ladra

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

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 $I$.

Primary Subjects: 17B40, 17B56, 18G10, 18G50, 18G60, 19D55
Keywords: Hochschild homology; $H$-unital algebra

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.hha/1251832589
Zentralblatt MATH identifier: 05595884
Mathematical Reviews number (MathSciNet): MR2529229

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