Freiman Borel-type ideals
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Published:2022-10-26
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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.
Author:
Zhu Guangjun1,
Zhao Yakun1,
Duan Shiya1,
Yang Yulong1
Affiliation:
1. School of Mathematical Sciences, Soochow University, Suzhou, Jiangsu 215006, P. R. China
Abstract
An equigenerated monomial ideal [Formula: see text] in the polynomial ring [Formula: see text] is a Freiman ideal if [Formula: see text], where [Formula: see text] is the analytic spread of [Formula: see text] and [Formula: see text] is the least number of monomial generators of [Formula: see text]. In this paper, we classify certain classes of Borel-type ideals, including Borel ideals with multiple Borel generators and principal [Formula: see text]-Borel ideals, which are Freiman.
Funder
Natural Science Foundation of Jiangsu Province
National Natural Science Foundation of China
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory