Every map between Noetherian F-finite Fp-algebras factors as an L-smooth morphism followed by a surjection, extending Gabber's quotient theorem to relative maps.
Locally complete intersecti on homomorphisms and a con- jecture of Quillen on the vanishing of cotangent homology
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$L$-smooth factorization for Noetherian $F$-finite rings
Every map between Noetherian F-finite Fp-algebras factors as an L-smooth morphism followed by a surjection, extending Gabber's quotient theorem to relative maps.