Let R be a commutative ring with unity. The extension of annihilating-ideal graph of R,
$^{\bar {\mathbb {AG}}} $(R), is the graph whose vertices are nonzero annihilating ideals of …

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 …

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 …

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 …

Let R be a commutative ring with A⁢(R) its set of annihilating-ideals. The extended
annihilating-ideal graph of R, denoted by AG¯⁢(R), is an undirected graph with vertex set …

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 …

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 and A (R) be the set of all ideals with non-zero annihilators.
Assume that A∗(R)= A (R)⧹{(0)} and F (R) denote the set of all finitely generated ideals of R …

Rings considered in this article are commutative with identity which admit at least one
nonzero annihilating ideal. For such a ring R, we determine necessary and sufficient …

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 …