Intersection graph of idealizations
A Mahmoodi, A Vahidi, R Manaviyat, R Alipour - Collectanea Mathematica, 2023 - Springer
Let R be a commutative ring with identity. The intersection graph of ideals of a ring R is an
undirected simple graph denoted by Γ (R) whose vertices are in a one-to-one …
undirected simple graph denoted by Γ (R) whose vertices are in a one-to-one …
On the inclusion ideal graph of a ring
The inclusion ideal graph of a ring R, denoted by In (R), is a graph whose vertices are all
non-trivial left ideals of R and two distinct left ideals I and J are adjacent if and only if I⊆ J or …
non-trivial left ideals of R and two distinct left ideals I and J are adjacent if and only if I⊆ J or …
[HTML][HTML] Intersection graphs of ideals of rings
In this paper, we consider the intersection graph G (R) of nontrivial left ideals of a ring R. We
characterize the rings R for which the graph G (R) is connected and obtain several …
characterize the rings R for which the graph G (R) is connected and obtain several …
The annihilating-ideal graph of a commutative ring with respect to an ideal
F Aliniaeifard, M Behboodi… - Communications in …, 2014 - Taylor & Francis
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 …
the graph whose vertices are the nonzero annihilating ideals of R with two distinct vertices …
Second ideal intersection graph of a commutative ring
F Farshadifar - arXiv preprint arXiv:2406.11387, 2024 - arxiv.org
arXiv:2406.11387v1 [math.AC] 17 Jun 2024 Page 1 arXiv:2406.11387v1 [math.AC] 17 Jun
2024 SECOND IDEAL INTERSECTION GRAPH OF A COMMUTATIVE RING F. FARSHADIFAR …
2024 SECOND IDEAL INTERSECTION GRAPH OF A COMMUTATIVE RING F. FARSHADIFAR …
The inclusion ideal graph of rings
Let R be a ring with unity. The inclusion ideal graph of a ring R, denoted by In (R), is a graph
whose vertices are all nontrivial left ideals of R and two distinct left ideals I and J are …
whose vertices are all nontrivial left ideals of R and two distinct left ideals I and J are …
The -intersection graph of ideals of a commutative ring
F Heydari - Discrete Mathematics, Algorithms and Applications, 2018 - World Scientific
Let R be a commutative ring and M be an R-module, and let I (R)∗ be the set of all nontrivial
ideals of R. The M-intersection graph of ideals of R, denoted by GM (R), is a graph with the …
ideals of R. The M-intersection graph of ideals of R, denoted by GM (R), is a graph with the …
[PDF][PDF] When intersection ideals of graphs of rings are a divisor graph
M Al-Labadi - Wseas Transactions on Mathematics, 2020 - researchgate.net
Let R be a commutative principal ideal ring with unity. In this paper, we classify when the
intersection graphs of ideals of a ring RG (R), is a divisor graph. We prove that the …
intersection graphs of ideals of a ring RG (R), is a divisor graph. We prove that the …
Intersection graphs of ideals of rings
In this paper we consider the intersection graph G (R) of nontrivial left ideals of a ring R. We
characterize the rings R for which the graph G (R) is disconnected and obtain several …
characterize the rings R for which the graph G (R) is disconnected and obtain several …
Some results on the intersection graphs of ideals of rings
S Akbari, R Nikandish, MJ Nikmehr - Journal of Algebra and its …, 2013 - World Scientific
Let R be a ring with unity and I (R)* be the set of all nontrivial left ideals of R. The intersection
graph of ideals of R, denoted by G (R), is a graph with the vertex set I (R)* and two distinct …
graph of ideals of R, denoted by G (R), is a graph with the vertex set I (R)* and two distinct …