  Ideals of continuous functions which satisfy an off diagonality condition
proved to be important connected with the solution of large classes of
nonlinear PDEs, and more recently, in General Relativity and Quantum Gravity.
Maximal ideals within those which satisfy that off diagonality condition are
important since they lead to differential algebras of generalized functions
which can handle the largest classes of singularities. The problem of finding
such maximal ideals satisfying the off diagonality condition is formulated
within some background detail, and commented upon.
