Title: Borcherds-Bozec algebras, root multiplicities and the Schofield construction,
Abstract: Using the twisted denominator identity, we derive a closed form root
multiplicity formula for all symmetrizable Borcherds-Bozec algebras and discuss
its applications including the case of Monster Borcherds-Bozec algebra. In the
second half of the paper, we provide the Schofield constuction of symmetric
Borcherds-Bozec algebras.