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Integral Dependence over One-Sided Ideals, Part II: G-Left Ideals and the Köthe Problem

Aryapoor, Masood
arXiv (All) · Papers
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rings-and-algebras
We study integral dependence over left ideals using G-left ideals, namely left ideals maximal with respect to the failure of integrality of a fixed element. We establish several characterizations of G-left ideals, and show that their intersection is precisely the upper nilradical. Motivated by the K
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