e-lifting modules relative to fully invariant submodules

Author(s):

F. Alizadeh , M. Hosseinpour * , Z. Kamali

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
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

Language:
English
Published:
Journal of Algebra and Related Topics, Volume:7 Issue: 1, Spring 2019
Pages:
13 to 24
https://www.magiran.com/p2051565