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On Countably Generated Dimension |
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| Authors: | Maryam Davoudian |
| Abstract: | In this article,we introduce and study the concept of countably generated dimension,which is a Krull-like dimension extension of the concept of DCC on countably generated submodules.We show that some of the basic results of Krull dimension are true for countably generated dimension.It is shown that an R-module M has Krull dimension if and only if it has countably generated dimension,and its Krull dimension and countably generated dimension coincide. |
| Keywords: | countably generated module Krull dimension countably generated dimen-sion |
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