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Communications in Algebra Volume 32, 2004 - Issue 5
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Miscellany

Modules with Chain Conditions on Non-essential Submodules

P. F. Smith Department of Mathematics, University of Glasgow, Glasgow, Scotland, UK; Department of Mathematics, University of Glasgow, Glasgow, Scotland, G12 8QW, UKCorrespondence[email protected]
&
M. R. Vedadi Department of Mathematics, Isfahan University of Technology, Isfahan, Iran
Pages 1881-1894 | Received 01 Nov 2002, Published online: 21 Oct 2011
 
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Abstract

We investigate when modules which satisfy the descending (respectively, ascending) chain condition on non-essential submodules are uniform or Artinian (respectively, Noetherian).

Notes

#Communicated by T. Lenagan.

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