Characterization and Newton Complementary Dual of Quasi $f$-Ideals

F. U. Rehman; H. Hasan; H. Mahmood; M. A. Binyamin

Characterization and Newton Complementary Dual of Quasi $f$-Ideals

Commutative Algebra 2021-01-06 v1 Combinatorics

Authors: F. U. Rehman , H. Hasan , H. Mahmood , M. A. Binyamin

Abstract

The notion of quasi $f$ -ideals was first presented in $[14]$ which generalize the idea of $f$ -ideals. In this paper, we give the complete characterization of quasi $f$ -ideals of degree greater or equal to $2$ . Additionally, we show that the property of being quasi $f$ -ideals remains the same after taking the Newton complementary dual of a squarefree monomial ideal $I$ provided that the minimal generating set of $I$ is perfect.

Keywords

quasi f-ideals newton complementary dual squarefree monomial ideal characterization perfect generating set

Cite

@article{arxiv.2101.01584,
  title  = {Characterization and Newton Complementary Dual of Quasi $f$-Ideals},
  author = {F. U. Rehman and H. Hasan and H. Mahmood and M. A. Binyamin},
  journal= {arXiv preprint arXiv:2101.01584},
  year   = {2021}
}

Characterization and Newton Complementary Dual of Quasi $f$-Ideals

Abstract

Keywords

Cite

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