Non-Artinian essential extensions of simple modules-Reference-Cited by-同舟云学术

Non-Artinian essential extensions of simple modules

Published:1986 Issue:2 Volume:97 Page:233-236
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Goodearl K. R.,Schofield A. H.

Abstract

A noetherian ring of Krull dimension one is constructed which possesses a simple module with a cyclic non-artinian essential extension. The construction also provides an example of a torsionfree noetherian bimodule which fails to satisfy Jategaonkar’s density condition.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1986-097-02/S0002-9939-1986-0835871-0/S0002-9939-1986-0835871-0.pdf

Reference8 articles.

1. Research Notes in Mathematics;Chatters, A. W.,1980

2. Memoirs of the American Mathematical Society, No. 133;Gordon, Robert,1973

3. Jacobson’s conjecture and modules over fully bounded Noetherian rings;Jategaonkar, Arun Vinayak;J. Algebra,1974

4. Solvable Lie algebras, polycyclic-by-finite groups and bimodule Krull dimension;Jategaonkar, Arun Vinayak;Comm. Algebra,1982

5. Noetherian rings with Krull dimension one;Lenagan, T. H.;J. London Math. Soc. (2),1977

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