On the monomial reduction number of a monomial ideal in $K[x,y]$

Jürgen Herzog; Somayeh Moradi; Masoomeh Rahimbeigi; Ali Soleyman Jahan

On the monomial reduction number of a monomial ideal in $K[x,y]$

Commutative Algebra 2019-08-13 v1

Authors: Jürgen Herzog , Somayeh Moradi , Masoomeh Rahimbeigi , Ali Soleyman Jahan

Abstract

The reduction number of monomial ideals in the polynomial $K[x,y]$ is studied. We focus on ideals $I$ for which $J=(x^a,y^b)$ is a reduction ideal. The computation of the reduction number amounts to solve linear inequalities. In some special cases the reduction number can be explicitly computed.

Keywords

monomial ideal reduction number polynomial ring reduction ideal linear inequalities

Cite

@article{arxiv.1908.03765,
  title  = {On the monomial reduction number of a monomial ideal in $K[x,y]$},
  author = {Jürgen Herzog and Somayeh Moradi and Masoomeh Rahimbeigi and Ali Soleyman Jahan},
  journal= {arXiv preprint arXiv:1908.03765},
  year   = {2019}
}

On the monomial reduction number of a monomial ideal in $K[x,y]$

Abstract

Keywords

Cite

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