… Artinian rings whose strong annihilating-ideal graph is isomorphic to some well-known
graphs and then we classify commutative Artinian rings whose strong annihilating-ideal graph is …

… (ie an oriented surface of genus k). Thus, a planar graph has genus 0, because it can be …
is an ideal whose square is not (0) and for each pair of annihilating-ideals I1 and I2, I1 +I2 is an …

… commutative rings for which \(AG_\varOmega (R)\) has genus one. … annihilating-ideal graph
of a commutative ring R. It is an undirected graph denoted by \(AG_\varOmega (R)\), whose …

… Behboodi, Rings whose annihilating-ideal graphs have positive genus, J. Algebra Appl., 11
(… Yu, On rings whose annihilating-ideal graphs are blowups of a class of Boolean graphs, J. …

… we characterized Artinian commutative rings for which AG Ω (R) has genus one. …
annihilating-ideal graph of a commutative ring R . It is an undirected graph denoted by AG Ω (R) , …

… The annihilating-ideal graph of R is defined as the graph AG(R) … Artinian non-local rings R
for which AG(R) has genus one. … An r-partite graph is one whose vertex set can be partitioned …

… Recently, this notation of the annihilating-ideal graph has been extensively … graph of the
annihilating-ideal graph of a commutative ring, denoted by AGs(R), that is, the graph whose …

… ring be vertices of the graph. The authors in [12] studied the zero-divisor graph whose …
In the last section, the domination number of the annihilating-ideal graph is studied and we …

… rings with identity whose AG(R) has genus less or equal to one. … that have genus at most
one [24, Theorems 3.5 and 3.11]. … all commutative rings whose zero divisor graph has genus at …

… rings with identity whose AG(R) has genus less or equal to one. … that have genus at most
one [24, Theorems 3.5 and 3.11]. … all commutative rings whose zero divisor graph has genus at …