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Matematicheskie Zametki, 2022, Volume 112, Issue 2, Pages 188–197
DOI: https://doi.org/10.4213/mzm13237 (Mi mzm13237) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Freiman $t$-Spread Principal Borel Ideals

Guangjun Zhu, Yakun Zhao, Yijun Cui

School of Mathematical Sciences, Soochow University
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DOI: https://doi.org/10.4213/mzm13237
Abstract: An equigenerated monomial ideal $I$ is a Freiman ideal if $\mu(I^2)=\ell(I)\mu(I)-{\ell(I)\choose 2}$, where $\ell(I)$ is the analytic spread of $I$ and $\mu(I)$ is the least number of monomial generators of $I$. Freiman ideals are special since there exists an exact formula computing the least number of monomial generators of any of their powers. In this paper we give a complete classification of Freiman $t$-spread principal Borel ideals.
Keywords: Freiman ideal, sorted ideal, $t$-spread principal Borel ideal, sorted graph.
Funding agency Grant number
Natural Science Foundation of Jiangsu Province BK20221353
This research was supported by the Natural Science Foundation of Jiangsu Province (No. BK20221353) and by the Foundation of the Priority Academic Program Development of Jiangsu Higher Education Institutions.
Received: 19.02.2021
Revised: 07.02.2022
English version:
Mathematical Notes, 2022, Volume 112, Issue 2, Pages 191–198
DOI: https://doi.org/10.1134/S0001434622070239
Bibliographic databases:
Document Type: Article
UDC: 515.122.4
Language: Russian
Citation: Guangjun Zhu, Yakun Zhao, Yijun Cui, “Freiman $t$-Spread Principal Borel Ideals”, Mat. Zametki, 112:2 (2022), 188–197; Math. Notes, 112:2 (2022), 191–198
Citation in format AMSBIB
\Bibitem{GuaYakYij22}
\by Guangjun Zhu, Yakun Zhao, Yijun Cui
\paper Freiman $t$-Spread Principal Borel Ideals
\jour Mat. Zametki
\yr 2022
\vol 112
\issue 2
\pages 188--197
\mathnet{http://mi.mathnet.ru/mzm13237}
\crossref{https://doi.org/10.4213/mzm13237}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461343}
\transl
\jour Math. Notes
\yr 2022
\vol 112
\issue 2
\pages 191--198
\crossref{https://doi.org/10.1134/S0001434622070239}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85137079233}
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    • This publication is cited in the following 1 articles:
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