On Φ-powerful submodules and Φ-strongly prime submodules
Let R be a commutative ring with identity and N be a submodule of an R-module M. We say a nonnil submodule N of an R-module M is a Φ-powerful (resp., Φ-strongly prime) submodule, if Φ(N) is a powerful (resp., strongly prime) submodule of a module Φ(M). We show that a nonnil prime submodule N of an R...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2021-08-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2021674?viewType=HTML |