A Generalization of UJ-Rings

The aim of the paper is to characterize the equation 1 + Δ(R) = U(R), where J(R) ⊆ Δ(R) = {x ∈ R : x + u ∈ U(R) for all u ∈ U(R)} that is the largest Jacobson radical subring of R and U(R) is the s...