The important ideas of reduction and integral closure of an ideal in a commutative Noetherian ring A (with identity) were introduced by Northcott and Rees [4]; a brief and direct approach to their theory is given in [6, (1.1)]. We begin by briefly summarizing some of the main aspects.
@article{bwmeta1.element.bwnjournal-article-cmv64i2p185bwm,
author = {Y. Tira\c s},
title = {Integral closures of ideals in the Rees ring},
journal = {Colloquium Mathematicae},
volume = {66},
year = {1993},
pages = {185-191},
zbl = {0826.13007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv64i2p185bwm}
}
Tiraş, Y. Integral closures of ideals in the Rees ring. Colloquium Mathematicae, Tome 66 (1993) pp. 185-191. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv64i2p185bwm/
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