2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72441The Z_2-graded Cech cohomology theory is considered in the framework of noncommutative geometry over complex number field and in particular the homotopy invariance and Morita invariance are proven.Latex2e, 11 pages, no figureK-Theory and HomologyAlgebraic Geometry14F20; 19K35; 46L80; 46M20$\mathbf Z_2$-graded Cech Cohomology in Noncommutative Geometrytext