Mayer-vietories Spectral Sequence Generalized Moment-the Angle Complexes Cohomology Group Calculated

In this paper, we compute the homology with coefficients in a field of generalized moment-angle complex using Mayer-Vietories spectral sequences. We prove that the differentials of degrees higher than 2 of the spectral sequence are all trivial. By the tools of combinatorial commutative algebra, we get the final result that the homology is completely determined by the combinatorial structure of the simplicial complex and the homology of each CW pair.