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On Finitely Annihilated Modules | ||
| Kirkuk Journal of Science | ||
| Article 1, Volume 3, Issue 2, 2008, Pages 117-133 PDF (0 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.32894/kujss.2008.42471 | ||
| Authors | ||
| Ali S. Mijbass1; Hibat K. i Mohammadal2; Najlaa A. saeed2 | ||
| 1Science college-Tikrit University | ||
| 2Education College-Tikrit University | ||
| Abstract | ||
| Let R be a commutative ring with identity and M be a unitary R-module. An R-module M is called finitely annihilated if there exists a finitely generated R-submodule N of M such that ann(M)=ann(N).Our main purpose in this work is to study this property in some known classes of modules such as quasi-injective, multiplication and other modules. We prove that: 1-If M is a quasi-injective R-module, then M is finitely annihilated if and only if M is finendo. 2-If M is a multiplication R-module, then M is finitely annihilated if and only if M is finitely generated. 3-M is a faithful finitely annihilated R-module if and only if M is a compactly faithful R-module. | ||
| Keywords | ||
| On Finitely; Annihilated; Modules | ||
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