Homology, Homotopy and Applications

Crossed extensions of algebras and Hochschild cohomology

Hans-Joachim Baues and Elias Gabriel Minian

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Abstract

We introduce the notion of crossed $n$-fold extensions of an algebra $B$ by a bimodule $M$ and prove that such extensions represent classes in the Hochschild cohomology of $B$ with coefficients in $M$. Moreover we consider this way characteristic classes of chain (resp. cochain) algebras in Hochschild cohomology.

Article information

Source
Homology Homotopy Appl., Volume 4, Number 2 (2002), 63-82.

Dates
First available in Project Euclid: 13 February 2006

Permanent link to this document
https://projecteuclid.org/euclid.hha/1139852457

Mathematical Reviews number (MathSciNet)
MR1918184

Zentralblatt MATH identifier
1004.18012

Subjects
Primary: 16E40: (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.)
Secondary: 16E45: Differential graded algebras and applications

Citation

Baues, Hans-Joachim; Minian, Elias Gabriel. Crossed extensions of algebras and Hochschild cohomology. Homology Homotopy Appl. 4 (2002), no. 2, 63--82. https://projecteuclid.org/euclid.hha/1139852457


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