Dg-separable dg-extensions
Abstract
We define and characterise completely dg-separable dg-extensions :(A,dA)→ (B,dB). We completely characterise the case of graded commutative dg-division algebras in characteristic different from 2. We prove that for a dg-separable extension a short exact sequence of dg-modules over (B,dB) splits if and only if the restriction to (A,dA) splits.
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