2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171882Our main interest in this paper is chiefly concerned with the conditions characterizing \textit{orthogonal and symplectic abstract differential geometries}. A detailed account about the sheaf-theoretic version of the \textit{symplectic Gram-Schmidt theorem} and of the \textit{Witt's theorem} is also given.24 pagesSymplectic GeometryRings and Algebras18F20, 14F05, 54B40text