Let $\mathcal {S} $ be a commutative ring with unity and $ A (\mathcal {S}) $ denotes the set
of annihilating-ideals of $\mathcal {S} $. The essential annihilating-ideal graph of $\mathcal …

The rings considered in this paper are commutative with identity which are not integral
domains. Let R be a ring. An ideal I of R is said to be an annihilating ideal if there exists r∈ …

The rings considered in this article are commutative with identity. For an ideal I of a ring R,
we denote the annihilator of I in R by Ann(I). An ideal I of a ring R is said to be an exact …

Let R be a commutative ring with identity and A (R) be the set of ideals with non-zero
annihilator. The annihilator intersection graph of R is defined as the graph AIG (R) with the …

Let R be a commutative ring with 1= 0 and let I (R) be the set of all proper ideals of R. An
ideal I∈ I (R) is called an annihilator ideal of R if, IJ= 0 for some nonzero ideal J∈ I (R). Let …

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 …

‎ The graph $ AG (R) ${of} a commutative ring $ R $ with identity has an edge linking two
unique vertices when the product of the vertices equals {the} zero ideal and its vertices are …

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 identity and $ A (R) $ be the set of ideals with nonzero
annihilator. The strongly annihilating-ideal graph of $ R $ is defined as the graph ${\rm …

Let R be a commutative ring with unity and A (R) be the set of annihilatingideals R. In this
paper, we introduced and studied theextended sum annihilating-ideal graphof R, denoted …