The annihilator ideal graph of a commutative ring
M Afkhami, N Hoseini… - Note di Matematica, 2016 - siba-ese.unisalento.it
Let R be a commutative ring with nonzero identity and I be a proper ideal of R. The
annihilator graph of R with respect to I, which is denoted by AG_ {I}(R), is the undirected …
annihilator graph of R with respect to I, which is denoted by AG_ {I}(R), is the undirected …
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 …
[PDF][PDF] Some further results on the annihilator ideal graph of a commutative ring
R Nikandish, MJ Nikmehr… - UPB Sci. Bull. Ser. A …, 2017 - scientificbulletin.upb.ro
Let R be a commutative ring with unity. The annihilator ideal graph of R, denoted by ΓAnn
(R), is a graph whose vertices are all non-trivial ideals of R and two distinct vertices I and J …
(R), is a graph whose vertices are all non-trivial ideals of R and two distinct vertices I and J …
The Coannihilator Graph of a Commutative Ring.
M Afkhami, K Khashyarmanesh… - … Asian Bulletin of …, 2019 - search.ebscohost.com
Let R be a commutative ring with nonzero identity. In this paper we intro-duce the
coannihilator graph of R, which is a dual of the annihilator graph AG (R), denoted by AG'(R) …
coannihilator graph of R, which is a dual of the annihilator graph AG (R), denoted by AG'(R) …
[PDF][PDF] Central sets in annihilating-ideal graph of a commutative ring
TT Chelvam, K Selvakumar - J. Combin. Math. Combin. Comput, 2014 - researchgate.net
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 …
zero annihilators. The annihilatingideal graph of R is defined as the graph AG (R) with the …
[PDF][PDF] Extended annihilating-ideal graph of a commutative ring
S Nithya, G Elavarasi - Discussiones Mathematicae-General Algebra …, 2022 - sciendo.com
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 …
if there exists a nonzero ideal J of R such that IJ=(0) and we use the notation A (R) for the set …
More on the annihilator-ideal graph of a commutative ring
MJ Nikmehr, SM Hosseini - Journal of Algebra and Its Applications, 2019 - World Scientific
Let R be a commutative ring with identity and 𝔸 (R) be the set of ideals of R with nonzero
annihilator. The annihilator-ideal graph of R, denoted by AI (R), is a simple graph with the …
annihilator. The annihilator-ideal graph of R, denoted by AI (R), is a simple graph with the …
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 …
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 …
[PDF][PDF] On the essential annihilating-ideal graph of commutative rings.
M Nazim, N ur Rehman - Ars Math. Contemp., 2022 - scholar.archive.org
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 …
A∗(R)= A (R)\{0}. In this paper, we introduced and studied the essential annihilating-ideal …