Hilbert's Syzygy Theorem for monomial ideals

Guillermo ALESANDRONI

doi:https://doi.org/10.24330/ieja.1102307

Article Details

Hilbert's Syzygy Theorem for monomial ideals

Authors:

Guillermo ALESANDRONI

Publisher:

Abdullah HARMANCI

Main Topics:

Mathematics

Journal:

International Electronic Journal of Algebra 2022 Vol.32 Issue 32, pp.80-85

Document Type:

Article

Publication Date:

7/2022

Document Language:

English

Document ID (Org No.):

2000717752

Frequency:

Monthly

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.1102307

Abstract:

 

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.

Article Details

Hilbert's Syzygy Theorem for monomial ideals

Authors: Guillermo ALESANDRONI

Publisher: Abdullah HARMANCI

Main Topics: Mathematics

Journal: International Electronic Journal of Algebra 2022 Vol.32 Issue 32, pp.80-85

Document Type: Article

Publication Date: 7/2022

Document Language: English

Document ID (Org No.): 2000717752

Frequency: Monthly

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.1102307

Issues

Authors:

Guillermo ALESANDRONI

Publisher:

Abdullah HARMANCI

Main Topics:

Mathematics

Journal:

International Electronic Journal of Algebra 2022 Vol.32 Issue 32, pp.80-85

Document Type:

Article

Publication Date:

7/2022

Document Language:

English

Document ID (Org No.):

2000717752

Frequency:

Monthly

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.1102307