Аннотация:
We describe alternative and associative on zero nilpotent finite rings with Eulerian, regular and complete bipartite zero-divisor graphs. Moreover, in this paper, it is proved that associative on zero nilpotent finite rings with planar zero-divisor graphs are associative.
Ключевые слова:
alternative ring, associative on zero ring, nilpotent ring, finite ring, zero-divisor graph, Eulerian graph, regular graph, complete bipartite graph, planar graph.