2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100757In this review we discuss the relevance of the Hochschild cohomology of renormalization Hopf algebras for local quantum field theories and their equations of motion.29 pages, eps figures; minor changes; final versionHigh Energy Physics - TheoryQuantum AlgebraHopf algebras in renormalization theory: Locality and Dyson-Schwinger equations from Hochschild cohomologytext