2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57121We develop a method to construct algebraic invariants for hypermatrices. We then construct hyperdeterminants and exhibit a generalization of the Cayley-Hamilton theorem for hypermatrices.65 pages. Several results expanded. Title changed to better reflect the content and agree with published preprint versionMathematical PhysicsHigh Energy Physics - TheoryPolynomial identities for hypermatricestext