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.

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