Open AccessIdempotent Divisor Graph of Commutative Ring
Author(s) -
Husam Q. Mohammad,
Nazar H. Shuker
Publication year - 2022
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2022.63.2.21
Subject(s) - mathematics , idempotence , zero divisor , planarity testing , combinatorics , graph , commutative ring , divisor (algebraic geometry) , discrete mathematics , commutative property
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.