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Prime and primary submodules of certain modules

A. AminiB. AminiHabib Sharif — 2006

Czechoslovak Mathematical Journal

In this paper we characterize all prime and primary submodules of the free R -module R n for a principal ideal domain R and find the minimal primary decomposition of any submodule of R n . In the case n = 2 , we also determine the height of prime submodules.

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