Publication: On 2-primal modules
Issued Date
2018-08-01
Resource Type
ISSN
16860209
Other identifier(s)
2-s2.0-85052887931
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Mahidol University
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SCOPUS
Bibliographic Citation
Thai Journal of Mathematics. Vol.16, No.2 (2018), 415-425
Suggested Citation
Nguyen T. Bac, Hai Q. Dinh, N. J. Groenewald On 2-primal modules. Thai Journal of Mathematics. Vol.16, No.2 (2018), 415-425. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/46101
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Title
On 2-primal modules
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Abstract
© 2018 by the Mathematical Association of Thailand. All rights reserved. In this paper, the concept of 2-primal modules is introduced. We show that the implications between rings which are reduced, IFP, symmetric and 2-primal are preserved when the notions are extended to modules. Like for rings, for 2-primal modules, prime submodules coincide with completely prime submodules. We prove that if M is a quasi-projective and finitely generated right R-module which is a self-generator, then M is 2-primal if and only if S =EndR (M) is 2-primal. Some properties of 2-primal modules are also investigated.