Abstract
Let R be a Noetherian PI ring with a two-sided ideal I. Let $$\hat R$$ be the I-adic completion of R. We establish a criterion which determines when $$\hat R$$ is Noetherian, thus answering a question of A. Goldie. As a consequence a question of J. McConnell is also answered.
Original language | English |
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Pages (from-to) | 487-506 |
Number of pages | 20 |
Journal | Israel Journal of Mathematics |
Volume | 209 |
Issue number | 1 |
DOIs | |
State | Published - 1 Sep 2015 |
Bibliographical note
Publisher Copyright:© 2015, Hebrew University of Jerusalem.
ASJC Scopus subject areas
- General Mathematics