Copolar and non-copolar properties of monomial ideals

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

ISSN: 1132-6360

Año de publicación: 2018

Título del ejemplar: Proceedings of the XVI EACA Zaragoza Encuentros de Algebra Computacional y Aplicaciones

Número: 43

Páginas: 123-126

Tipo: Artículo

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Otras publicaciones en: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza

Resumen

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.