Monomial Ideals with Quasi-Linear Quotients
- Авторы: Nazir S.1, Anwar I.2, Ahmad A.3
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Учреждения:
- Lahore University of Management Sciences
- Abdus Salam School ofMathematical Sciences
- COMSATS Institute of Information Technology
- Выпуск: Том 40, № 1 (2019)
- Страницы: 85-89
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203807
- DOI: https://doi.org/10.1134/S1995080219010116
- ID: 203807
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Аннотация
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.
Об авторах
S. Nazir
Lahore University of Management Sciences
Автор, ответственный за переписку.
Email: shaheen.nazir@lums.edu.pk
Пакистан, Lahore, Punjab, 54792
I. Anwar
Abdus Salam School ofMathematical Sciences
Автор, ответственный за переписку.
Email: iimrananwar@gmail.com
Пакистан, Lahore, 54000
A. Ahmad
COMSATS Institute of Information Technology
Автор, ответственный за переписку.
Email: aniqa.mathematics@gmail.com
Пакистан, Lahore, Punjab, 54000