Publication: On strongly semiprime modules and submodules
Issued Date
2018-12-01
Resource Type
ISSN
16860209
Other identifier(s)
2-s2.0-85059454828
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Mahidol University
Rights Holder(s)
SCOPUS
Bibliographic Citation
Thai Journal of Mathematics. Vol.16, No.3 (2018), 577-590
Suggested Citation
Hai Q. Dinh, Nguyen Trong Bac, Nico Johannes Groenewald, Dong Thi Hong Ngoc On strongly semiprime modules and submodules. Thai Journal of Mathematics. Vol.16, No.3 (2018), 577-590. Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/46093
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Title
On strongly semiprime modules and submodules
Abstract
© 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.