2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54671We propose the ternary generalization of the classical anti-commutativity and study the algebras whose generators are ternary anti-commutative. The integral over an algebra with an arbitrary number of generators N is defined and the formula of a change of variables is proved. In analogy with the fermion integral we define an analogue of the Pfaffian for a cubic matrix by means of Gaussian type integral and calculate its explicit form in the case of N=3.10 pagesHigh Energy Physics - Theorytext