Linear Resolutions of Powers of Generalized Mixed Product Ideals

Authors

  • A. Tehranian Department of mathematics, Science and Research branch, Islamic azad university, Tehran Iran
  • R. Moghimipor 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 genearlized mixed product ideals and show that Lk  have a linear resolution if and only if Ik have 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 is again generalized mixed polymatroidal ideal.

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Journal title

volume 14  issue 1

pages  127- 134

publication date 2019-04

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