Abstract
The concept of a quiver, i.e., a direct graph of a finite-dimensional algebra, was introduced by Gabriel in connection with problems of representation theory of such algebras. The notion of a scheme (=quiver Q(A)) of a semiperfect, right Noetherian ring A was introduced by the author and was applied to the study of the structure of serial rings. We give a short review of some results on structural ring theory, which were obtained by using the graph technique.
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