  We consider an electron system under conditions of strong Anderson
localization, taking into account interelectron long-range Coulomb repulsion.
We have established that with the electron density going to zero the Coulomb
interaction brings the arrangement of the Anderson localized electrons closer
and closer to an ideal (Wigner) crystal lattice, provided the temperature is
sufficiently low and the dimension of the system is > 1. The ordering occurs
despite the fact that a random spread of the energy levels of the localized
one-electron states, exceeding the mean Coulomb energy per electron, renders it
impossible the electrons to be self-localized due to their mutual Coulomb
repulsion This differs principally the Coulomb ordered Anderson localized
electron system (COALES) from Wigner crystal, Wigner glass, and any other
ordered electron or hole system that results from the Coulomb self-localization
of electrons/holes. The residual disorder inherent to COALES is found to bring
about a multi-valley ground-state degeneration akin to that in spin glass. With
the electron density increasing, COALES is revealed to turn into Wigner glass
or a glassy state of a Fermi-glass type depending on the width of the random
spread of the electron levels.
