Let R be a commutative ring with nonzero identity and I be a proper ideal of R. The
annihilator graph of R with respect to I, which is denoted by AG_ {I}(R), is the undirected …

Let R be a commutative ring with nonzero identity. We denote by AG (R) the annihilator
graph of R, whose vertex set consists of the set of nonzero zero-divisors of R, and two distint …

Let R be a commutative ring with unity. The annihilator ideal graph of R, denoted by ΓAnn
(R), is a graph whose vertices are all non-trivial ideals of R and two distinct vertices I and J …

Let R be a commutative ring with nonzero identity. In this paper we intro-duce the
coannihilator graph of R, which is a dual of the annihilator graph AG (R), denoted by AG'(R) …

Let R be a commutative ring with identity and A*(R) be the set of non-zero ideals with non-
zero annihilators. The annihilatingideal graph of R is defined as the graph AG (R) with the …

Let R be a commutative ring with identity. An ideal I of a ring R is called an annihilating-ideal
if there exists a nonzero ideal J of R such that IJ=(0) and we use the notation A (R) for the set …

Let R be a commutative ring with identity and 𝔸 (R) be the set of ideals of R with nonzero
annihilator. The annihilator-ideal graph of R, denoted by AI (R), is a simple graph with the …

For a commutative ring R with identity, the annihilating-ideal graph of R, denoted 𝔸𝔾 (R), is
the graph whose vertices are the nonzero annihilating ideals of R with two distinct vertices …

In this paper we continue our study of annihilating-ideal graph of commutative rings, that
was introduced in (The annihilating-ideal graph of commutative rings I, to appear in J …

Let R be a commutative ring with unity, A (R) be the set of all annihilating-ideals of R and
A∗(R)= A (R)\{0}. In this paper, we introduced and studied the essential annihilating-ideal …