Constructive Aspects of Noetherian Rings
- 1 June 1974
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 44 (2) , 436-441
- https://doi.org/10.2307/2040452
Abstract
If is a discrete Noetherian ring, in the sense of Tennenbaum, such that finitely generated ideals are finitely related and detachable, then so is . This shows that a large class of rings enjoy the property that finitely generated ideals are detachable, and that intersections and quotients of finitely generated ideals are finitely generated.Keywords
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