Finite Rings with Compressed Zero-Divisor graphs of Small Orders
Finite Rings with Compressed Zero-Divisor graphs of Small Orders
Siberian Electronic Mathematical Reports, 23, 1, pp. 643-656 (2026)
Abstract:
We describe all associative finite rings that have compressed zero-divisor graphs of order not more then $3$. Moreover, such associative finite rings with identity that its compressed zero-divisor graphs are of order $4$ are described also.
Keywords: associative ring, finite ring, zero-divisor graph, compressed zero-divisor graph.