MMN-4273
Some properties of r-supplemented modules
Celil Nebiyev;
Nurhan Sökmez;
Abstract
In this work, r-supplemented modules are defined and some properties of these modules are investigated. It is proved that every factor module and every homomorphic image of an r-supplemented module are r-supplemented. Let M be an R-module and M = M1 + M2 + ⋯ + Mn. If Mi is r-supplemented for each i = 1,2,…,n, then M is also r-supplemented. Let M be an r-supplemented module. Then every finitely M−generated R-module is r-supplemented.
Vol. 25 (2024), No. 2, pp. 933-938