ABSTRACT

If (Γ,a) ∈ Qdec(R,A) × A for some complete lattice A then a left R-module M is said to be (Γ,a)-coirreducible if and only if Γ(M) is an atom of A satisfying Γ(M) ⊆ a. We say that the module M is Γ-coirreducible if and only if it is (Γ,⊤)-coirreducible.