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Keywords:
prime submodules; primary submodules; primary decomposition
prime submodules; primary submodules; primary decomposition
Summary:
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.
References:
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[5] Y. Tiras and A. Harmanci: On prime submodules and primary decomposition. Czechoslovak Math. J. 50 (2000), 83–90. DOI 10.1023/A:1022441220553 | MR 1745462
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