Uninorms continuous on [0, e[2 ∪ ]e, 1]2

Uninorms continuous on [0, e[2 ∪ ]e, 1]2 are discussed. Archimedean uninorms continuous and cancellative on ]0, e[2 ∪ ]e, 1[2 are characterized and related non-Archimedean uninorms are also discussed. The problem when is the border-continuous projection of a t-norm associative, i.e., a t-subnorm is also answered.