Freiman Borel-type ideals.

An equigenerated monomial ideal I in the polynomial ring S = K [ x 1 , ... , x n ] is a Freiman ideal if μ (I 2) = ℓ (I) μ (I) − ℓ (I) 2 , where ℓ (I) is the analytic spread of I and μ (I) is the least number of monomial generators of I. In this paper, we classify certain classes of Borel-type ideals, including Borel ideals with multiple Borel generators and principal k -Borel ideals, which are Freiman. [ABSTRACT FROM AUTHOR]