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›› 2018, Vol. 35 ›› Issue (6): 724-730.DOI: 10.7523/j.issn.2095-6134.2018.06.002

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

SONG Juanjuan, GAO Yubin   

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China
  • Received:2017-05-09 Revised:2017-09-25 Online: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).

Key words: Castelnuovo-Mumford regularity, complete intersection, product of ideals

CLC Number: