On 2-primal modules
© 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, fo...
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th-mahidol.461012019-08-23T18:30:16Z On 2-primal modules Nguyen T. Bac Hai Q. Dinh N. J. Groenewald Ton-Duc-Thang University Kent State University Mahidol University Nelson Mandela University Nguyen Tat Thanh University University of Economics and Business Administration Mathematics © 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. 2019-08-23T11:30:16Z 2019-08-23T11:30:16Z 2018-08-01 Article Thai Journal of Mathematics. Vol.16, No.2 (2018), 415-425 16860209 2-s2.0-85052887931 https://repository.li.mahidol.ac.th/handle/123456789/46101 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85052887931&origin=inward |
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Mathematics |
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Mathematics Nguyen T. Bac Hai Q. Dinh N. J. Groenewald On 2-primal modules |
| description |
© 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. |
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Ton-Duc-Thang University |
| author_facet |
Ton-Duc-Thang University Nguyen T. Bac Hai Q. Dinh N. J. Groenewald |
| format |
Article |
| author |
Nguyen T. Bac Hai Q. Dinh N. J. Groenewald |
| author_sort |
Nguyen T. Bac |
| title |
On 2-primal modules |
| title_short |
On 2-primal modules |
| title_full |
On 2-primal modules |
| title_fullStr |
On 2-primal modules |
| title_full_unstemmed |
On 2-primal modules |
| title_sort |
on 2-primal modules |
| publishDate |
2019 |
| url |
https://repository.li.mahidol.ac.th/handle/123456789/46101 |
| _version_ |
1763495813947850752 |