2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59183The paper has been withdrawn by the author, due a gap in the proof of Theorem 6.1. The gap was discovered by M. Van den Bergh. Theorem 6.1 is used to prove the main result of the paper, namely Theorem 0.7 (decomposition in arbitrary characteristic). At this time we do not have an alternate proof. Other results of the paper (Theorems 0.2, 0.3, 0.6 and 3.1) are not effected by this problem, and they remain valid.Paper withdrawn by author, due to gap in proof of main resultAlgebraic GeometryCommutative AlgebraK-Theory and HomologyQuantum AlgebraRings and AlgebrasPrimary 16E40; Secondary 14F10, 18G10, 13H10Decomposition of the Hochschild Complex of a Scheme in Arbitrary Characteristictext