2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/189121We suggest a mathematical definition of the notion of master integrals and present a brief review of algorithmic methods to solve reduction problems for Feynman integrals based on integration by parts relations. In particular, we discuss a recently suggested reduction algorithm which uses Groebner bases. New results obtained with its help for a family of three-loop Feynman integrals are outlined.5 pages, uses espcrc2.styHigh Energy Physics - Phenomenologytext