1986•Advanced lectures in mathematicsRequires access
Existence of p-Bases
Ernst Kunz
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Abstract
Let S be a ring that contains a field of characteristic p > 0. If R is a subring of S such that S ⊃ R ⊃ Sp and S is a finitely presented R-module, we say that a Frobenius-sandwich S ⊃ R ⊃ Sp is given. In this case S/R is also a finitely presented algebra (that is, there is a presentation S = R[X1, ..., Xn]/I with a finitely generated ideal I of R[X1, ..., Xn]), and Ω S/R 1 is a finitely presented S-module.