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Quasi-Isomorphisms of Commutative DG Rings and Divided Power Structures

Quasi-Isomorphisms of Commutative DG Rings and Divided Power Structures

Abstract We prove that a quasi-isomorphism f : A → B between commutative DGrings, where B admits a divided power structure, can be factored as f = f ̃ ◦ e, wheree : A → B ̃ is a split injective quasi-isomorphism, and f ̃ : B ̃ → B …