Mezzetti, EmiliaMiró-Roig, Rosa M. (Rosa Maria)2019-10-232020-09-012018-09-010021-8693https://hdl.handle.net/2445/142928We study the homogeneous artinian ideals of the polynomial ring generated by the homogeneous polynomials of degree d which are invariant under an action of the cyclic group , for any . We prove that they are all monomial Togliatti systems, and that they are minimal if the action is defined by a diagonal matrix having on the diagonal , where e is a primitive d-th root of the unity. We get a complete description when d is prime or a power of a prime. We also establish the relation of these systems with linear Ceva configurations.29 p.application/pdfengcc-by-nc-nd (c) Elsevier, 2018http://creativecommons.org/licenses/by-nc-nd/3.0/esPolinomisMatrius (Matemàtica)PolynomialsMatricesinfo:eu-repo/semantics/article6865532019-10-23info:eu-repo/semantics/openAccess