| Authors | محمد حسن نادری,رضا جهانی نژاد |
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| Journal | Southeast Asian Bulletin of Mathematics |
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| Page number | 401 |
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| Volume number | 42 |
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| Paper Type | Full Paper |
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| Published At | 2018-07-19 |
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| Journal Grade | Scientific - research |
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| Journal Type | Electronic |
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| Journal Country | Iran, Islamic Republic Of |
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| Journal Index | ISI-Listed |
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Abstract
Let R be a commutative ring with identity and M be an R-module. In this
paper some properties of primary and classical primary submodules will be investigated.
It is shown that if F is a faithfully flat R-module, then Q is a primary submodule of
M if and only if F
Q is a primary submodule of F
M. Also some characterization
of classical primary submodules are given. Furthermore, the existence of (minimal)
primary submodules containing classical primary submodules are investigated
