2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227416We give explicit formulae for operations in Hochschild cohomology which are analogous to the operations in the homology of double loop spaces. As a corollary we obtain that any brace algebra in finite characteristic is always a restricted Lie algebra.This is the version published by Algebraic & Geometric Topology on 24 July 2006Rings and AlgebrasAlgebraic Topology16E40, 18D50, 55P48, 55S12text