Cofinitely essential g-supplemented modules
- Celil Nebiyev,
Ondokuz Mayis University, Department of Mathematics, Atakum, Samsun, Turkey,
- Hasan Hüseyin Ökten,
Amasya University, Technical Sciences Vocational School, Amasya, Turkey,
Let M be an R−module. If every cofinite essential submodule of M has a g-supplement in M, then M is called a cofinitely essential g-supplemented (or briefly cofinitely eg-supplemented) module. In this work, some properties of these modules are investigated. It is proved that every factor module and every homomorphic image of a cofinitely eg-supplemented module are cofinitely eg-supplemented. Let M be a cofinitely eg-supplemented module. Then every M−generated R−module is cofinitely eg-supplemented.
Vol. 23 (2022), No. 1, pp. 381-387