e-lifting modules relative to fully invariant submodules

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

Keywords:

e-small submodules , e-lifting modules , FI-e-lifting modules

Authors

F. Alizadeh

Department of Mathematics, Faculty of Basic Sciences, Babol University of Technology Babol, Iran

M. Hosseinpour

Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

Z. Kamali

Department of Mathematics, Faculty of Basic Sciences, Babol University of Technology Babol, Iran

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https://civilica.com/doc/2030078

شناسه ملی سند علمی:

JR_JART-7-1_002

تاریخ نمایه سازی: 31 تیر 1403

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Alizadeh, F. and Hosseinpour, M. and Kamali, Z.,1398,e-lifting modules relative to fully invariant submodules,https://civilica.com/doc/2030078

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Paper count: 7,304

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