Some remarks on the inverse systems of polynomial modules Original Research Article

This paper is devoted to a generalization of the notion of inverse system of a polynomial ideal as can be found in Macaulayʹs treatise on Modular Systems. The definition of inverse system given here relates polynomial modules to modules of linear forms on polynomials. The most interesting results obtained by Macaulay on the inverse systems of polynomial ideals are particular cases of propositions proved in this article.