Author/Authors :
Moghimipor, Roya Department of Mathematics - Science and Research Branch Islamic Azad University, Tehran, Iran , Tehranian, Abolfazl Department of Mathematics - Science and Research Branch Islamic Azad University, Tehran, Iran
Abstract :
Let L be the generalized mixed product ideal induced by a
monomial ideal I. In this paper we compute powers of the generalized
mixed product ideals and show that Lk has a linear resolution if and only
if Ik has a linear resolution for all k. We also introduce the generalized
mixed polymatroidal ideals and prove that powers and monomial localizations
of a generalized mixed polymatroidal ideal are again generalized
mixed polymatroidal ideal.
