Projective dimension and Castelnuovo-Mumford regularity of t-spread ideals

被引：5
|
作者：
Amata, Luca [1 ]
Crupi, Marilena [1 ]
Ficarra, Antonino [1 ]
机构：
[1] Univ Messina, Dept Math & Comp Sci, Phys & Earth Sci, Viale Ferdinando Stagno dAlcontres 31, I-98166 Messina, Italy
来源：
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2022年 / 32卷 / 04期
关键词：
Monomial ideals; minimal graded resolution; Taylor resolution; Koszul resolution; t-spread ideals; regularity; edge ideals; EXTREMAL BETTI NUMBERS;
D O I：
10.1142/S0218196722500357
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study some algebraic invariants of t-spread ideals, t >= 1, such as the projective dimension and the Castelnuovo-Mumford regularity, by means of well-known graded resolutions. We state upper bounds for these invariants and, furthermore, we identify a special class of t-spread ideals for which such bounds are optimal.
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页码：837 / 858
页数：22
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