Hilbert's Syzygy Theorem for monomial ideals
We give a new proof of Hilbert's Syzygy Theorem for monomial ideals. In addition, we prove the following. If S=k[x1,…,xn]S=k[x1,…,xn] is a polynomial ring over a field, MM is a squarefree monomial ideal in SS, and each minimal generator of MM has degree larger than ii, then pd(S/M)≤n−i\pd(S/M)≤n−i.
Keywords:
Betti number, free resolution monomial ideal,
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- ISSN: 1306-6048
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2007
- Yayıncı: Abdullah HARMANCI
Sayıdaki Diğer Makaleler
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