We introduce and study the concept of α-short modules (a 0-short module is just a short module, i.e., for each submodule N of a module M, either N or $\frac{\mathrm{M}}{\mathrm{N}}$ is Noetherian).

Abstract: In this paper, by considering the notion of MV - modules, which is the structure that naturally correspond to lu-modules over lu-rings, we state and prove some essential homomorphism ...

School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, P. R. China School of Mathematics and Statistics, Shandong University of Technology, Zibo 255000, P. R. China ...

This is a preview. Log in through your library . Abstract In this paper we obtain a generalization of the fact that if $M$ is a maximal (proper) ideal of a Noetherian ...

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