Polynomial rings over a commutative von Neumann regular ring-Reference-Cited by-同舟云学术

Polynomial rings over a commutative von Neumann regular ring

Published:1975 Issue:2 Volume:49 Page:294-296
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Gilmer Robert

Abstract

It is shown that the annihilator of each finitely generated ideal of R [ { X λ } λ ∈ Λ ] R[{\{ {X_\lambda }\} _{\lambda \in \Lambda }}] , where R R is a commutative von Neumann regular ring with identity, is principal; this generalizes a recent result of P. J. McCarthy.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1975-049-02/S0002-9939-1975-0366907-4/S0002-9939-1975-0366907-4.pdf

Reference8 articles.

1. Zero divisors in power series rings;Gilmer, Robert;J. Reine Angew. Math.,1975

2. Semigroup rings as Prüfer rings;Gilmer, Robert;Duke Math. J.,1974

3. On homological dimensions of rings with countably generated ideals;Jensen, Chr. U.;Math. Scand.,1966

4. Sur la cohérence des anneaux de dimension homologique 2;Le Bihan, Pierre;C. R. Acad. Sci. Paris S\'{e}r. A-B,1971

5. The ring of polynomial over a von Neumann regular ring;McCarthy, P. J.;Proc. Amer. Math. Soc.,1973

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. pg-Extensions and p-Extensions with applications to C(X);Journal of Algebra and Its Applications;2015-03-17

2. When Min(A)−1is Hausdorff;Communications in Algebra;2013-01-31

3. Extensions of commutative rings;Topology and its Applications;2011-09