Unmixed polymatroidal ideals

Unmixed polymatroidal ideals

Let \(R=K[x_1,\ldots,x_n]\) denote the polynomial ring in \(n\) variables over a field \(K\) and \(I\) be a polymatroidal ideal of \(R\). In this paper, we provide a comprehensive classification of all unmixed polymatroidal ideals. This work addresses a question raised by Herzog and Hibi in [10]

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Veröffentlicht in:arXiv.org 2024-08
Hauptverfasser: Koolani, Mozghan, Mafi, Amir, Hero Saremi
Format: Artikel
Sprache:eng
Schlagworte:
Polynomials
Rings (mathematics)
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Zusammenfassung:Let \(R=K[x_1,\ldots,x_n]\) denote the polynomial ring in \(n\) variables over a field \(K\) and \(I\) be a polymatroidal ideal of \(R\). In this paper, we provide a comprehensive classification of all unmixed polymatroidal ideals. This work addresses a question raised by Herzog and Hibi in [10]
ISSN:2331-8422