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Small Quasi-Dedekind Modules | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 3, Issue 2, 2011, Pages 1-10 PDF (0 K) | ||
| Authors | ||
| Inaam Mohammed Ali; ; ar Younis Ghawi | ||
| Abstract | ||
| Let R be a commutative ring with unity .A unitary R-module M is called a quasi-Dedekind module if for all nonzero submodules N of M . In this paper we introduce and study the concept of small quasi-Dedekind module as a generalization of quasi-Dedekind module . Where an R-module M is called small quasi-Dedekind if, for each nonzero homomorphisms f from M to M , implies Kerf small in M ( Kerf ≪ M ). And an R-submodule N of an R-module M is called a small submodule of M (N ≪ M , for short) if , for all K ≤ M with N+K = M implies K = M | ||
| Keywords | ||
| quasi; Dedekind Modules; small quasi | ||
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