On P-Essential Submodules
Let be a commutative ring with identity and let be an R-module. We call an R-submodule of as P-essential if for each nonzero prime submodule of and 0 . Also, we call an R-module as P-uniform if every non-zero submodule of is P-essential. We give some properties of P-essential and introduce many properties to P-uniform R-module. Also, we give conditions under which a submodule of a multiplication R-module becomes P-essential. Moreover, various properties of P-essential submodules are considered.
2017 ◽
Vol 37
(1)
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pp. 153-168
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2021 ◽
Vol 10
(11)
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pp. 3479-3489
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2009 ◽
Vol 52
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pp. 253-259
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2019 ◽
Vol 32
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pp. 103
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2019 ◽
Vol 11
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pp. 54-62
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