The projective 3-annihilating-ideal hypergraphs.

In this paper, we investigate the crosscap of 3-annihilating-ideal hypergraph 3 (R) of a commutative ring R and the topological embedding of 3 (R) to the nonorientable compact surfaces. Furthermore, we determine all Artinian commutative non-local rings R (up to isomorphism) such that 3 (R) is a projective graph. [ABSTRACT FROM AUTHOR]