MMN-4409
On finitely g-supplemented modules
Celil Nebiyev;
Hasan Hüseyin Ökten;
Abstract
In this work, some properties of finitely g-supplemented modules are investigated. Let M be a finitely g-supplemented R−module and N be a finitely generated or small submodule of M. Then M∕N is finitely g-supplemented. Let f : M→N be an R-module epimomorphism with small kernel. If M is finitely g-supplemented, then N is also finitely g-supplemented. Let M be a finitely g-supplemented module, RadgM ≤ U ≤ M and U be finitely generated. Then U∕RadgM is a direct summand of M∕RadgM.
Vol. 25 (2024), No. 2, pp. 965-969