Some properties of the essential annihilating-ideal graph of commutative rings
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 …
of annihilating-ideals of $\mathcal {S} $. The essential annihilating-ideal graph of $\mathcal …
[引用][C] Some results on a supergraph of the sum annihilating ideal graph of a commutative ring
S Visweswaran - Discrete Mathematics, Algorithms and Applications, 2023 - World Scientific
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∈ …
domains. Let R be a ring. An ideal I of R is said to be an annihilating ideal if there exists r∈ …
The exact annihilating-ideal graph of a commutative ring
S Visweswaran, PT Lalchandani - Journal of Algebra Combinatorics …, 2021 - dergipark.org.tr
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 …
we denote the annihilator of I in R by Ann(I). An ideal I of a ring R is said to be an exact …
[PDF][PDF] On the annihilator intersection graph of a commutative ring
M Vafaei, A Tehranian, R Nikandish - Italian Journal of Pure and …, 2017 - researchgate.net
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 …
annihilator. The annihilator intersection graph of R is defined as the graph AIG (R) with the …
[PDF][PDF] Rings Whose Annihilating-Ideal Graphs Have Positive Genus
M Behboodi, F Aliniaeifard - academia.edu
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 …
ideal I∈ I (R) is called an annihilator ideal of R if, IJ= 0 for some nonzero ideal J∈ I (R). Let …
On the annihilator-ideal graph of commutative rings
S Salehifar, K Khashyarmanesh, M Afkhami - Ricerche di Matematica, 2017 - Springer
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 …
graph of R, whose vertex set consists of the set of nonzero zero-divisors of R, and two distint …
Some Remarks on the Annihilating-Ideal Graph of Commutative Ring with Respect to an Ideal
Z Mahmudiankoruie, MH Naderi - Mathematics Interdisciplinary …, 2024 - mir.kashanu.ac.ir
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 …
unique vertices when the product of the vertices equals {the} zero ideal and its vertices are …
The annihilating-ideal graph of commutative rings II
M Behboodi, Z Rakeei - Journal of Algebra and its Applications, 2011 - World Scientific
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 …
was introduced in (The annihilating-ideal graph of commutative rings I, to appear in J …
Some classes of perfect strongly annihilating-ideal graphs associated with commutative rings
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 …
annihilator. The strongly annihilating-ideal graph of $ R $ is defined as the graph ${\rm …
On a New Extension of Annihilating-Ideal Graph of Commutative Rings
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 …
paper, we introduced and studied theextended sum annihilating-ideal graphof R, denoted …