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- W1607431180 abstract "Given a semilocal 1-dimensional Cohen-Macauly ring A, J. Lipman in [10] gives an algorithm to obtain the integral closure Ā of A , in terms of prime ideals of A . More precisely, he shows that there exists a sequence of rings A = A 0 ⊂ A 1 ⊂… ⊂ A i ⊂…, where, for each i, i ≥ 0, A i+1 is the ring obtained from A i by “blowing-up” the Jacobson radical ℛ i of A i+ i.e. A i+l = ∪ n (ℛ i n :ℛ i n ). It turns out that ∪ {A i ;i≥0} = Ā (cf. [10, proof of Theorem 4.6]) and, if Ā is a finitely generated A-module, the sequence {A i ; i ≥ 0} is stationary for some m and A m = Ā, so that" @default.
- W1607431180 created "2016-06-24" @default.
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- W1607431180 date "1989-03-01" @default.
- W1607431180 modified "2023-09-28" @default.
- W1607431180 title "A Lipman’s type construction, glueings and complete integral closure" @default.
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- W1607431180 doi "https://doi.org/10.1017/s0027763000001276" @default.
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