Abstract. For a partition [Formula: see text] of [Formula: see text], the Specht ideal [Formula: see text] is the ideal generated by all Specht polynomials of shape [Formula: see text]. In their unpublished manuscript, Haiman and Woo showed that [Formula: see text] is a radical ideal, and gave its universal Gröbner basis (Murai, Ohsugi, and Yanagawa published a quick proof of this result). On the other hand, an old paper of Li and Li studied analogous ideals, while their ideals are not always radical. The present paper introduces a class of ideals generalizing both Specht ideals and radical Li–Li ideals, and studies their radicalness and Gröbner bases.