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Locally polynomial algebras are symmetric
1976
Bulletin of the American Mathematical Society
is proved by reducing it to part (a). Part (a) is proved by first constructing an augmentation A -> K and then applying the following general result, which has various other applications. THEOREM 4. Let A be a finitely presented {not necessarily commutative) K-algebra equipped with an augmentation, 0 -> A -> A -> K -> 0, and put 7A = (B n>0 A n /A n + 1 , the associated graded algebra. If A n = yA m (as filtered algebras) for all m G max(AT), then A = y A.
doi:10.1090/s0002-9904-1976-14128-6
fatcat:xe6lwvi7kvf3llfs3qlkn5ulya