In this book, we introduce several graphical representations of a ring. In the past three
decades, graphs constructed from algebraic structures have been studied extensively by …

The Co-annihilating-ideal Graphs of Commutative Rings Page 1 Canad. Math. Bull. Vol. ( ),
pp. – http://dx.doi.org/. /CMB--©Canadian Mathematical Society The Co-annihilating-ideal …

Let R be a commutative ring. In this paper, we study the annihilatorideal-based zero-divisor
graph by replacing the ideal I of R with the idealAnnR (M) for an R-module M. Also, we …

Let R be a commutative ring with identity. In this paper, we consider a simple graph
associated with R denoted by Ω R∗, whose vertex set is the set of all nonzero proper ideals …

As an extension of 𝔸 𝔾 z (L)(the annihilation graph of the commutator poset (lattice) L with
respect to an element z∈ L), we discuss when 𝔸 𝔾 I (L)(the annihilation graph of the …

We propose a new, widely generalized context for the study of the zero-divisor type
(annihilating-ideal) graphs, where the vertices of graphs are not elements/ideals of a …

On the strongly annihilating-submodule graph of a module Page 1 Hacettepe Journal of
Mathematics & Statistics Hacet. J. Math. Stat. Volume 51 (2) (2022), 443 – 454 DOI …

Similar to the case of commutative rings, we define the notion of a zero-divisor graph of a
commutative semiring R with respect to an ideal I of R, denoted by\Gamma_I (R) Γ I (R). That …

Let R be a commutative ring with identity. The co-annihilating-ideal graph of R, denoted by 𝒜
R, is a graph whose vertex set is the set of all nonzero proper ideals of R and two distinct …

Let $ R $ be a commutative ring with $1\neq 0$ and $\Bbb {A}(R) $ be the set of ideals with
nonzero annihilators. The annihilating-ideal graph of $ R $ is defined as the graph $\Bbb …