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Hochschild cohomology of triangular matrix algebras

Jorge A. Guccione, Juan J. Guccione

math.KTarXiv:math/0104068

Abstract

We prove the existence of two long exact sequences relating the Hochschild cohomology of a triangular matrix algebra with the Hochschild homology of its component subalgebras. We also study the structure of the maps of the first sequence.

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