We prove that the moment-angle complex Z₊ corresponding to a 3 -dimensional simplicial sphere K has the cohomology ring isomorphic to the cohomology ring of a connected sum of products of spheres if and only if either (a) K is the boundary of a 4 -dimensional cross-polytope, or (b) the one-skeleton of K is a chordal graph, or (c) there are only two missing edges in K and they form a chordless 4 -cycle. For simplicial spheres K of arbitrary dimension, we obtain a sufficient condition for the ring isomorphism H^* (Z₊) H^* (M) where M is a connected sum of products of spheres.
Kovyrshina et al. (Sun,) studied this question.
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