A generalization of the Weierstrass semigroup

The Weierstrass semigroup H(P)H(P) is well known and has been studied. Recently there has been a renewed interest in these semigroups because of applications in coding theory. Generalizations of the Weierstrass semigroup H(P)H(P) to nn-tuples P1,…,PnP1,…,Pn have been made and studied. We will state and study another possible generalization.