t-扩散理想的射影维数和Castelnuovo-Mumford正则性

Int. J. Algebra Comput. Pub Date : 2022-03-14 DOI:10.1142/s0218196722500357

Luca Amata, M. Crupi, A. Ficarra

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引用次数: 5

摘要

本文利用著名的分级分解方法，研究了[公式:见文]-扩散理想，[公式:见文]的一些代数不变量，如射影维数和Castelnuovo-Mumford正则。我们给出了这些不变量的上界，进一步，我们确定了一类特殊的[公式:见文本]-扩展理想，对于这些理想，上界是最优的。

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

In this paper, we study some algebraic invariants of [Formula: see text]-spread ideals, [Formula: see text], 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 [Formula: see text]-spread ideals for which such bounds are optimal.

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Int. J. Algebra Comput.

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