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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Computing the integral closure of an affine domain


Author: Wolmer V. Vasconcelos
Journal: Proc. Amer. Math. Soc. 113 (1991), 633-638
MSC: Primary 13B22; Secondary 13P10
DOI: https://doi.org/10.1090/S0002-9939-1991-1055780-6
MathSciNet review: 1055780
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Abstract: Let $ A = k[{x_1}, \ldots ,{x_n}]/P$ be an affine domain over a field $ k$, with $ P$ given by a set of generators. We give a method to find the defining ideal of its integral closure $ B$ as an affine domain $ B = k[{y_1}, \ldots ,{y_m}]/Q$.


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DOI: https://doi.org/10.1090/S0002-9939-1991-1055780-6
Article copyright: © Copyright 1991 American Mathematical Society