Bull. Korean Math. Soc. 2016; 53(6): 1613-1615
Online first article October 15, 2016 Printed November 30, 2016
https://doi.org/10.4134/BKMS.b140895
Copyright © The Korean Mathematical Society.
Jonathan David Farley
1700 E. Cold Spring Lane
It is proved that $k[X_1,\dots,X_v]$ localized at the ideal $(X_1,\dots$, $X_v)$, where $k$ is a field and $X_1,\dots,X_v$ indeterminates, is not weakly quasi-complete for $v\ge2$, thus proving a conjecture of D. D. Anderson and solving a problem from ``Open Problems in Commutative Ring Theory'' by Cahen, Fontana, Frisch, and Glaz.
Keywords: quasi-completeness, Noetherian ring, commutative ring, polynomial ring, localization, ring of formal power series, completion
MSC numbers: 13A15, 13B30, 13B35, 13E05, 16P40, 16P50, 16S85
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