University of Guilan Journal of Algebra and Related Topics 2345-3931 7 1 2019 06 01 e-lifting modules relative to fully invariant submodules 13 24 3688 10.22124/jart.2019.11972.1135 EN 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 Journal Article 2018 12 14 In this paper, we introduce the notion FI-e-lifting modules which is a proper generalization of lifting (e-lifting) modules.<br />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 https://jart.guilan.ac.ir/article_3688_49b594f8898e605a0b32c9c9363b1c0a.pdf