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The rank of a $d$-dimensional polytope $P$ is defined by $F-(d+1)$, where $F$denotes the number of facets of $P$. In this paper, We focus on the toric ringsof $(0,1)$-polytopes with small rank. We study their normality, thetorsionfreeness of their divisor class groups and the classification of theirisomorphism classes.

Toric rings of $(0,1)$-polytopes with small rank