Let M be a module, and let U, V, F be submodules of M with F proper. We say V is an F-
supplement of U in M if it is minimal in the collection of submodules F⊆ X⊆ M such that M …

In this work, cofinitely (weak) g-supplemented lattices are defined and some properties of
these lattices are investigated. It is shown that quotient sublattices of cofinitely (weak) g …