Copolar and non-copolar properties of monomial ideals

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

ISSN: 1132-6360

Datum der Publikation: 2018

Titel der Ausgabe: Proceedings of the XVI EACA Zaragoza Encuentros de Algebra Computacional y Aplicaciones

Nummer: 43

Seiten: 123-126

Art: Artikel

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Andere Publikationen in: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza

Zusammenfassung

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.