paper

Extensions of associative algebras

arXiv:0908.3572

Abstract

In this paper, we give a purely cohomological interpretation of the extension problem for associative algebras; that is the problem of extending an associative algebra by another associative algebra. We then give a similar interpretation of infinitesimal deformations of extensions. In particular, we consider infinitesimal deformations of representations of an associative algebra.

25 pages

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Extensions of associative algebras · wovepaper