  Non-Hermitian ring-shaped discrete lattices share the appeal with their more
popular linear predecessors. Their dynamics controlled by the nearest-neighbor
interaction is equally phenomenologically interesting. In comparison, the
innovative nontriviality of their topology may be expected to lead to new
spectral effects. Some of them are studied here via solvable examples. Main
attention is paid to the perturbation-caused removals of spectral degeneracy at
exceptional points.
