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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Main Authors: | , , , |
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Format: | Article |
Published: |
2018
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Online Access: | https://repository.li.mahidol.ac.th/handle/123456789/12143 |
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Institution: | Mahidol University |
Summary: | 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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