Bilhan, G. and Smith, P.F. (2006) Short modules and almost Noetherian modules. Mathematica Scandinavica, 98(1), pp. 12-18.
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Abstract
It is proved that, for any ring R, a right R-module M has the property that, for every submodule N, either N or M/N is Noetherian if and only if M contains submodules K ⊇ L such that M/K and L are Noetherian and K/L is almost Noetherian.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Smith, Professor Patrick |
Authors: | Bilhan, G., and Smith, P.F. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Mathematica Scandinavica |
ISSN: | 0025-5521 |
ISSN (Online): | 1903-1807 |
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