On the level property of two-dimensional monomial ideals
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Published:2022-03-31
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Volume:
Page:
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Affiliation:
1. Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Hanoi, Vietnam
Abstract
Let [Formula: see text] be an ideal of the form [Formula: see text] in a polynomial ring [Formula: see text] over a field [Formula: see text], where [Formula: see text] is a prime ideal generated by variables [Formula: see text] for [Formula: see text]. In this paper, we will characterize the level property of [Formula: see text] in the case [Formula: see text] takes a positive value [Formula: see text] or [Formula: see text]. In such a case, we also give an explicit formula for the last Betti number of this ring.
Funder
Vingroup Big Data Institute
Vietnam Ministry of Education and Training
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory