Abstract

Let R = K[x, y] be a polynomial ring in two disjoint sets of variables x, y over a field K. We study ideals of mixed products L = IkJr + IsJt such that k + r = s + t, where Ik (resp. Jr ) denotes the ideal of R generated by the square-free monomials of degree k (resp. r) in the x (resp. y ) variables. Our main result is a characterization of when a given ideal L of mixed products is normal. *Partially supported by CONACyT grant 27931E and SNI, México.

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