A generalization of the Weierstrass semigroup

Abstract The Weierstrass semigroup 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 ) to n -tuples P 1 , … , P n have been made and studied. We will state and study another possible generalization.