Open AccessOn FI-retractable modules
Author(s) -
Marziyeh Atashkar,
Yahya Talebi
Publication year - 2022
Publication title -
mathematica
Language(s) - English
Resource type - Journals
eISSN - 2601-744X
pISSN - 1222-9016
DOI - 10.24193/mathcluj.2022.1.04
Subject(s) - generalization , invariant (physics) , computer science , section (typography) , mathematics , mathematical analysis , operating system , mathematical physics
We introduce the notion of FI-retractable modules which is a generalization of retractable modules. A module is called FI-retractable if for every nonzero fully invariant submodule N of M, Hom(M,N) is not 0. Wee continue the study of FI-retractable modules. Amongst other structural properties, we also deal direct sums and direct summands of FI-retractable modules. The last section of the paper is devoted to study of End(M), such that M is FI-retractable.