Farid Aliniaeifard

collaborators

3 papers

math.RA2015

Noetherian Rings Whose Annihilating-Ideal Graphs Have finite Genus

Farid Aliniaeifard, Mahmood Behboodi, Yuanlin Li

Let $R$ be a commutative ring and $A (R)$ be the set of ideals with non-zero annihilators. The annihilating-ideal graph of $R$ is defined as the graph $AG (R)$ with v…

math.RA2014

On the Diameter and Girth of an Annihilating-Ideal Graph

F. Aliniaeifard, M. Behboodi, E. Mehdi-Nezhad +1

Let $R$ be a commutative ring with $1 \neq = 0$ and $A (R)$ be the set of ideals with nonzero annihilators. The annihilating-ideal graph of $R$ is defined as the graph $\Bbb{AG}(…

math.RA2014

The Annihilating-Ideal Graph of a Ring

F. Aliniaeifard, M. Behboodi, Y. Li

Let $S$ be a semigroup with $0$ and $R$ be a ring with $1$ . We extend the definition of the zero-divisor graphs of commutative semigroups to not necessarily commutative semigroups.…