JP Journal of Algebra, Number Theory and Applications
Volume 40, Issue 1, Pages 1 - 12
(February 2018) http://dx.doi.org/10.17654/NT040010001 |
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ON THE CLASSIFICATION OF a-KRULL MODULES
S. M. Javdannezhad and N. Shirali
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Abstract: It is proved that for any ring R and right R-module M, if M is a-Krull (i.e., for each submodule N of M, either or and a is the least ordinal number with this property), then or The main aim of this paper is to characterize modules, which are a-Krull if and only if their Krull dimension is equal to a. |
Keywords and phrases: Krull dimension, a-Krull modules, critical modules. |
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