[图书][B] Graphs from rings
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 …
decades, graphs constructed from algebraic structures have been studied extensively by …
The co-annihilating-ideal graphs of commutative rings
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 …
pp. – http://dx.doi.org/. /CMB--©Canadian Mathematical Society The Co-annihilating-ideal …
[PDF][PDF] On the ideal-based zero-divisor graphs
H Ansari-toroghy, F Farshadifar… - … Electronic Journal of …, 2018 - dergipark.org.tr
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 …
graph by replacing the ideal I of R with the idealAnnR (M) for an R-module M. Also, we …
A new graph associated to a commutative ring
A Alilou, J Amjadi, SM Sheikholeslami - … Algorithms and Applications, 2016 - World Scientific
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 …
associated with R denoted by Ω R∗, whose vertex set is the set of all nonzero proper ideals …
The annihilation graphs of commutator posets and lattices with respect to an ideal
E Mehdi-Nezhad, AM Rahimi - Journal of Algebra and its …, 2018 - World Scientific
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 …
respect to an element z∈ L), we discuss when 𝔸 𝔾 I (L)(the annihilation graph of the …
The annihilation graphs of commutator posets and lattices with respect to an element
E Mehdi-Nezhad, AM Rahimi - Journal of Algebra and its …, 2017 - World Scientific
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 …
(annihilating-ideal) graphs, where the vertices of graphs are not elements/ideals of a …
On the strongly annihilating-submodule graph of a module
R Beyranvand, A Farzı-safarabadı - Hacettepe Journal of …, 2022 - dergipark.org.tr
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 …
Mathematics & Statistics Hacet. J. Math. Stat. Volume 51 (2) (2022), 443 – 454 DOI …
On some graphs associated to commutative semirings
E Mehdi-Nezhad, AM Rahimi - Results in Mathematics, 2015 - Springer
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 …
commutative semiring R with respect to an ideal I of R, denoted by\Gamma_I (R) Γ I (R). That …
Classification of rings with toroidal co-annihilating-ideal graphs
R Khoeilar, J Amjadi - Discrete Mathematics, Algorithms and …, 2021 - World Scientific
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 …
R, is a graph whose vertex set is the set of all nonzero proper ideals of R and two distinct …
On the diameter and girth of an annihilating-ideal graph
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 …
nonzero annihilators. The annihilating-ideal graph of $ R $ is defined as the graph $\Bbb …