The geometric realization of monomial ideal rings and a theorem of Trevisan (Q360558)

\textit{A. J. Trevisan} [Homology Homotopy Appl. 13, No. 1, 205--221 (2011; Zbl 1220.55011)] showed that every ring which is a quotient of an integral polynomial ring with two dimensional generators by an ideal of monomial relations can be realized as the integral cohomology ring of a topological space. The authors present a direct proof of the realization part of Trevisan's theorem. They also show that some families of these monomial ideal rings can be realized by polyhedral products indexed by simplicial complexes.