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For a partition $\lambda$ of $n$, the _Specht ideal_ $I_\lambda \subsetK[x_1, \ldots, x_n]$ is the ideal generated by all Specht polynomials of shape$\lambda$. In their unpublished manuscript, Haiman and Woo showed that$I_\lambda$ is a radical ideal, and gave its universal Gr\"obner bases(recently, Murai et al. published a quick proof of this result). On the otherhand, an old paper of Li and Li studied analogous ideals, while their idealsare not always radical. In the present paper, we introduce a class of idealswhich generalizes both Specht ideals and _radical_ Li-Li ideals, and studytheir radicalness and Gr\"obner bases.

Gr\"obner bases of radical Li-Li type ideals associated with partitions