Idempotent Divisor Graph of Commutative Ring
Idempotent Divisor Graph
DOI:
https://doi.org/10.24996/ijs.2022.63.2.21Keywords:
Idempotent Elements, Zero Divisor Graph, Idempotent Divisor Graph, Planar GraphAbstract
This work aims to introduce and to study a new kind of divisor graph which is called idempotent divisor graph, and it is denoted by . Two non-zero distinct vertices v1 and v2 are adjacent if and only if , for some non-unit idempotent element . We establish some fundamental properties of , as well as it’s connection with . We also study planarity of this graph.
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Published
2022-02-26
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Section
Mathematics
How to Cite
Idempotent Divisor Graph of Commutative Ring: Idempotent Divisor Graph. (2022). Iraqi Journal of Science, 63(2), 645-651. https://doi.org/10.24996/ijs.2022.63.2.21
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