Some remarks on the Stanley depth for multigraded modules

  • 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
Published
2009-04-07
Section
Articoli