Short modules and almost noetherian modules

Authors

  • G. Bilhan
  • P. F. Smith

DOI:

https://doi.org/10.7146/math.scand.a-14980

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 $K \supseteq L$ such that $M/K$ and $L$ are Noetherian and $K/L$ is almost Noetherian.

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Published

2006-03-01

How to Cite

Bilhan, G., & Smith, P. F. (2006). Short modules and almost noetherian modules. MATHEMATICA SCANDINAVICA, 98(1), 12–18. https://doi.org/10.7146/math.scand.a-14980

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Articles