Structural Properties of Zero-Divisor Graphs of Multilocal Finite Rings
Let N =Yti=1pnii , t ≥ 2, where the primes p1, . . . , pt are distinct and ni ≥ 1, and let R = Z/NZ. The nonzero zero-divisors of R are partitioned by their truncated prime-adic valuation vectors. This paper develops the resulting valuation-layer description of the zero-divisor graph Γ(R). A complete formula is obtain...