Prime and primary submodules of certain modules |
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| Authors: | A Amini B Amini H Sharif |
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| Institution: | (1) Department of Mathematics, College of Science, Shiraz University, Shiraz, 71454, Iran |
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| Abstract: | 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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| Keywords: | prime submodules primary submodules primary decomposition |
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