On strongly semiprime modules and submodules
© 2018 by the Mathematical Association of Thailand. All rights reserved. We provide the notion of strongly semiprime submodules of a given right R-module M and describe properties of them as a generalization of completely semiprime ideals in associative rings. We show that a proper fully invariant s...
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Main Authors: | , , , |
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Other Authors: | |
Format: | Article |
Published: |
2019
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Subjects: | |
Online Access: | https://repository.li.mahidol.ac.th/handle/123456789/46093 |
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Institution: | Mahidol University |
Summary: | © 2018 by the Mathematical Association of Thailand. All rights reserved. We provide the notion of strongly semiprime submodules of a given right R-module M and describe properties of them as a generalization of completely semiprime ideals in associative rings. We show that a proper fully invariant submodule of M is strongly prime if and only if it is prime and strongly semiprime. |
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