Copolar and non-copolar properties of monomial ideals

  1. F. MOHAMMADI
  2. P. PASCUAL-ORTIGOSA
  3. E. SÁENZ-DE-CABEZÓN
Journal:
Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza

ISSN: 1132-6360

Year of publication: 2018

Issue Title: Proceedings of the XVI EACA Zaragoza Encuentros de Algebra Computacional y Aplicaciones

Issue: 43

Pages: 123-126

Type: Article

beta Ver similares en nube de resultados

More publications in: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza

Abstract

Monomial ideals that have the same polarization are called copolar. Copolar ideals share several important properties, like Betti numbers or height. Given an ideal I we can obtain information about it by examining the family of ideals copolar to a it. We give some examples of this approach that demonstrate its utility.Monomial ideals that have the same polarization are called copolar. Copolar ideals share several important properties, like Betti numbers or height. Given an ideal I we can obtain information about it by examining the family of ideals copolar to a it. We give some examples of this approach that demonstrate its utility.