Constructive aspects of Noetherian rings-Reference-Cited by-同舟云学术

Constructive aspects of Noetherian rings

Published:1974 Issue:2 Volume:44 Page:436-441
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Richman Fred

Abstract

If R R is a discrete Noetherian ring, in the sense of Tennenbaum, such that finitely generated ideals are finitely related and detachable, then so is R [ x ] R[x] . 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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1974-044-02/S0002-9939-1974-0416874-9/S0002-9939-1974-0416874-9.pdf

Reference1 articles.

1. J. B. Tennenbaum, A constructive version of Hilbert’s basis theorem, Ph.D. Dissertation, University of California, San Diego, Calif., 1973.

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