On prime and semiprime Goldie modules
A right R-module M is called a Goldie module if it has finite Goldie dimension and satisfies the ACC for M-annihilator submodules of M. In this paper, we study the class of prime Goldie modules and the class of semiprime Goldie modules as generalizations of prime right Goldie rings and semiprime rig...
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th-mahidol.121432018-05-03T15:20:08Z On prime and semiprime Goldie modules Nguyen Van Sanh S. Asawasamrit K. F U Ahmed Le Phuong Thao Mahidol University Center of Excellence in Mathematics Mathematics A right R-module M is called a Goldie module if it has finite Goldie dimension and satisfies the ACC for M-annihilator submodules of M. In this paper, we study the class of prime Goldie modules and the class of semiprime Goldie modules as generalizations of prime right Goldie rings and semiprime right Goldie rings. © 2011 World Scientific Publishing Company. 2018-05-03T08:20:08Z 2018-05-03T08:20:08Z 2011-06-01 Article Asian-European Journal of Mathematics. Vol.4, No.2 (2011), 321-334 10.1142/S1793557111000265 17937183 17935571 2-s2.0-84857528563 https://repository.li.mahidol.ac.th/handle/123456789/12143 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84857528563&origin=inward |
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Mathematics Nguyen Van Sanh S. Asawasamrit K. F U Ahmed Le Phuong Thao On prime and semiprime Goldie modules |
| description |
A right R-module M is called a Goldie module if it has finite Goldie dimension and satisfies the ACC for M-annihilator submodules of M. In this paper, we study the class of prime Goldie modules and the class of semiprime Goldie modules as generalizations of prime right Goldie rings and semiprime right Goldie rings. © 2011 World Scientific Publishing Company. |
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Mahidol University |
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Mahidol University Nguyen Van Sanh S. Asawasamrit K. F U Ahmed Le Phuong Thao |
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Article |
| author |
Nguyen Van Sanh S. Asawasamrit K. F U Ahmed Le Phuong Thao |
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Nguyen Van Sanh |
| title |
On prime and semiprime Goldie modules |
| title_short |
On prime and semiprime Goldie modules |
| title_full |
On prime and semiprime Goldie modules |
| title_fullStr |
On prime and semiprime Goldie modules |
| title_full_unstemmed |
On prime and semiprime Goldie modules |
| title_sort |
on prime and semiprime goldie modules |
| publishDate |
2018 |
| url |
https://repository.li.mahidol.ac.th/handle/123456789/12143 |
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1763492980062158848 |