Monomial Ideals with Quasi-Linear Quotients
- Autores: Nazir S.1, Anwar I.2, Ahmad A.3
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Afiliações:
- Lahore University of Management Sciences
- Abdus Salam School ofMathematical Sciences
- COMSATS Institute of Information Technology
- Edição: Volume 40, Nº 1 (2019)
- Páginas: 85-89
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203807
- DOI: https://doi.org/10.1134/S1995080219010116
- ID: 203807
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Resumo
In this paper, we extend the notion of quasi-linear quotients for a pure monomial ideal (not necessarily square-free) of degree d. We introduce the notion of quasi-linear free resolution and show that if a pure monomial ideal I = (u1, u2,…, um) of degree d in the polynomial ring S = k[x1,…, xn] admits quasi-linear quotients then Lq = (u1,…, uq−1): uq admits quasi-linear free resolution for all q ≤ m. Moreover, we show that if a pure monomial ideal I of degree d admits quasi-linear quotients then I〈t〉 will also have quasi-linear quotients for t ≥ d.
Sobre autores
S. Nazir
Lahore University of Management Sciences
Autor responsável pela correspondência
Email: shaheen.nazir@lums.edu.pk
Paquistão, Lahore, Punjab, 54792
I. Anwar
Abdus Salam School ofMathematical Sciences
Autor responsável pela correspondência
Email: iimrananwar@gmail.com
Paquistão, Lahore, 54000
A. Ahmad
COMSATS Institute of Information Technology
Autor responsável pela correspondência
Email: aniqa.mathematics@gmail.com
Paquistão, Lahore, Punjab, 54000