Hochshild cohomology of the associative conformal algebra Cend1,x

Abstract

It is established in this work that second Hochshild cohomology group of the associative conformal algebra Cend1,x is zero. As a corollary, this algebra split off in each extension with a nilpotent kernel. Key words: associative conformal algebra, splitting off radical, Hochshild cohomology.

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