Title of article
Linear Resolutions of Powers of Generalized Mixed Product Ideals
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
Pages
8
From page
127
To page
134
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.
Keywords
Monomial ideals , Graded Betti numbers , Free resolutions
Serial Year
2019
Record number
2494790
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