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#popescu's_theorem

Popescu's theorem

In commutative algebra and algebraic geometry, Popescu's theorem, introduced by Dorin Popescu, states:Let A be a Noetherian ring and B a Noetherian algebra over it. Then, the structure map A → B is a regular homomorphism if and only if B is a direct limit of smooth A-algebras.

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Popescu's theorem Gabriel–Popescu theorem Artin approximation theorem Quotient of an abelian category G-ring Commutative ring Nicolae Popescu Gabriel Popescu Approximation property (ring theory) Cartier isomorphism
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