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On the Castelnuovo-Mumford regularity of product of irreducible monomial ideals

  • SONG Juanjuan ,
  • GAO Yubin
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  • College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China

Received date: 2017-05-09

  Revised date: 2017-09-25

  Online published: 2018-11-15

Abstract

Let I, J, K, and L be irreducible monomial ideals in a polynomial ring over a field k. In this paper, we prove reg(IJKL) ≤ reg(I)+reg(J)+reg(K)+reg(L).

Cite this article

SONG Juanjuan , GAO Yubin . On the Castelnuovo-Mumford regularity of product of irreducible monomial ideals[J]. Journal of University of Chinese Academy of Sciences, 2018 , 35(6) : 724 -730 . DOI: 10.7523/j.issn.2095-6134.2018.06.002

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