Geodesic
Freiman $t$-Spread Principal Borel Ideals
Matematičeskie zametki, Tome 112 (2022) no. 2, pp. 188-197

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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. 
@article{MZM_2022_112_2_a3,
     author = {Guangjun Zhu and Yakun Zhao and Yijun Cui},
     title = {Freiman $t${-Spread} {Principal} {Borel} {Ideals}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {188--197},
     publisher = {mathdoc},
     volume = {112},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_112_2_a3/}
}
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Guangjun Zhu; Yakun Zhao; Yijun Cui. Freiman $t$-Spread Principal Borel Ideals. Matematičeskie zametki, Tome 112 (2022) no. 2, pp. 188-197. http://geodesic.mathdoc.fr/item/MZM_2022_112_2_a3/