Bandari, Somayeh

[ 1 ] - Study and characterization of some classes of polymatroidal ideals

In this paper, the class of polymatroidal ideals are studied. In particular, we show that any polymatroidal ideal has a regular decomposition function, so we can give its explicit resolution. We also characterize generic polymatroidal ideals. Finally, we characterize monomial ideals which all their powers are generalized Cohen-Macaulay polymatroidal ideals.