A computation of the Castelnuovo-Mumford regularity of certain two-dimensional unmixed ideals

In this article, we consider ideals of the form of a polynomial ring over a field, where is an ideal generated by variables and is a non-negative integer for all i, j. We will give explicit formulas for computing the a i -invariants and the Castelnuovo-Mumford regularity in the case takes a value α...

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Bibliographic Details
Published in:Communications in algebra 2020-05, Vol.48 (5), p.2028-2040
Main Authors: Công Minh, Nguyên, Thi Thuy, Phan
Format: Article
Language:English
Subjects:
Castelnuovo-Mumford regularity
connected graph
invariants
monomial ideals
Polynomials
Regularity
Rings (mathematics)
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Summary:In this article, we consider ideals of the form of a polynomial ring over a field, where is an ideal generated by variables and is a non-negative integer for all i, j. We will give explicit formulas for computing the a i -invariants and the Castelnuovo-Mumford regularity in the case takes a value α or β, where
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2019.1710169