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e-lifting modules relative to fully invariant submodules | ||
Journal of Algebra and Related Topics | ||
مقاله 2، دوره 7، شماره 1، شهریور 2019، صفحه 13-24 اصل مقاله (286.68 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22124/jart.2019.11972.1135 | ||
نویسندگان | ||
F. Alizadeh1؛ M. Hosseinpour* 2؛ Z. Kamali1 | ||
1Department of Mathematics, Faculty of Basic Sciences, Babol University of Technology Babol, Iran | ||
2Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran | ||
چکیده | ||
In this paper, we introduce the notion FI-e-lifting modules which is a proper generalization of lifting (e-lifting) modules. Then we give some characterizations and properties of e-lifting and FI-e-lifting modules. We provide a decomposition of any e-lifting modules. It is shown that every finite direct sum of FI-e-lifting modules is FI-e-lifting | ||
کلیدواژهها | ||
e-small submodules؛ e-lifting modules؛ FI-e-lifting modules | ||
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