… R − module. In this paper, we derive some completeness conditions on the zero divisor
graphs of modules over commutative rings. It is shown that the weak zero divisor graph of a …

… the zero divisor graph of the ring with respect to the ideal coincides with the zero divisor graph
of the ring … a case of Galois ring module idealization and investigate its ideal based zero …

… commutative ring with 1 = 0 and Z(R) its set of zerodivisors. The zero-divisor graph of R is the
(simple) graph … We define the extended zero-divisor graph of S to be the (simple) graph Γ(S…

… -based zero divisor graph of a commutative ring. This study reflects another structure of the
subset of zero divisors in a ring since total zero divisor graph engages both ring operations, …

… zero divisor graphs, and show that an infinite reproduced general hyperring can have a finite
zero divisor graph… The idea of a zero-divisor graph of a commutative ring was introduced by …

… zero-divisor graph ΓE(K), we define a compressed zero-divisor graph Θ(K) of a finite commutative
unital ring K, … of finite commutative unital rings, such as local rings and principal ideal …

… zero-divisor graphs of commutative rings. In Section 3, we show that if either Γ(R) (or Γ(R))
is a regular graph… reduced artinian rings and show that their zero divisor graphs have same …

… zero divisor graphs (ZDGs) of the ring of integers ℤ n modulo n using MAPLE algorithm. Zero
divisor graphs, pivotal in the study of ring … unital commutative rings to noncommutative rings…

… of zerodivisor elements in a commutative ring to modules and he introduces zero-divisor
graphs for modules over commutative rings. … of associated graphs to algebraic structures. All …

… set of graphs. Further, we study the zero-divisor graph of a semisimple group-ring FqCn and
… We use R to denote a commutative ring with additive identity 0 and multiplicative identity 1 …