Approximation property (ring theory)
In algebra, a commutative Noetherian ring A is said to have the approximation property with respect to an ideal I if each finite system of polynomial equations with coefficients in A has a solution in A if and only if it has a solution in the I-adic completion of A. The notion of the approximation property is due to Michael Artin.
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Approximation property (ring theory)
In algebra, a commutative Noetherian ring A is said to have the approximation property with respect to an ideal I if each finite system of polynomial equations with coefficients in A has a solution in A if and only if it has a solution in the I-adic completion of A. The notion of the approximation property is due to Michael Artin.
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In algebra, a commutative Noet ...... perty is due to Michael Artin.
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In algebra, a commutative Noet ...... perty is due to Michael Artin.
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Approximation property (ring theory)
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