2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152574A free differential for an arbitrary associative algebra is defined as a differential with a uniqueness property. The existence problem for such a differential is posed. The notion of optimal calculi for given commutation rules is introduced and an explicit construction of it for a homogenous case is provided. Some examples are presented.10 pagesHigh Energy Physics - TheoryRings and Algebrastext