On cofinitely weak supplemented modules

الملخص EN

-For a locally noetherian module, we prove some conditions equivalent to being cofinitely weak supplemented.

Every semilocal module is cofinitely weak supplemented.

For a module M with small radical, it is shown that M is weakly supplemented if and only if every cyclic submodule has a weak supplement.

A commutative domain R is hsemilocal if and only if every torsion R-module is cofinitely weak supplemented.

AMS 2000 Subject Classification: 13C05, 13C99, 16D10, 16P40