2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98265The natural generalization of the (two-dimensional) Yang-Baxter equations to three dimensions is known as the Zamolodchikov's tetrahedron equations. We consider a simplified version of these equations which still ensures the commutativity of the transfer matrices with different spectral parameters and we present a family of free fermionic solutions.Latex file, 24 pages, 4 figuresStatistical MechanicsStrongly Correlated ElectronsHigh Energy Physics - TheoryMathematical Physicstext