Kaydan N. Finite rings.

The work is devoted to study of finite rings. The study of finite rings has applications in the encoding theory and in the general rings theory. Finite rings are widely used in cryptography and cryptographic protocols. The general form of two sided Pirs decomposition of a finite ring, and its radikal is obtained in the dissertation. Existence of finite poorly primary ring for simply laced strongly connected quiver is shown. The theorem which is a generalization of well-known Nechaeva A.A. theorem about finite chain rings is formulated and proven. The clarification of Kirichenko V.V. theorem about the structure of quiver of eventual semichain rings is proven.