Some remarks on the Stanley depth for multigraded modules

Authors

  • Mircea Cimpoeas Romanian Academy

Keywords:

Stanley depth, Monomial ideal.

Abstract

We show that Stanley’s conjecture holds for any multigraded module M over S, with sdepth(M) = 0, where S = K[x_1; ... ; x_n]. Also, we give some bounds for the Stanley depth of the powers of the maximal irrelevant ideal in S.

Author Biography

  • Mircea Cimpoeas, Romanian Academy
    Institute of Mathematics of the Romanian Academy
    Bucharest, Romania

Downloads

Published

2009-04-07

Issue

Section

Articoli