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http://dx.doi.org/10.5831/HMJ.2018.40.1.75

ANNIHILATOR GRAPHS OF COMMUTATOR POSETS

Varmazyar, Rezvan (Department of Mathematics, Khoy Branch, Islamic Azad University)

Publication Information

Honam Mathematical Journal / v.40, no.1, 2018 , pp. 75-82 More about this Journal

Abstract

Let P be a commutator poset with Z(P) its set of zero-divisors. The annihilator graph of P, denoted by AG(P), is the (undirected) graph with all elements of $$Z(P){\setmin$ $us}\{0\}$$ as vertices, and distinct vertices x, y are adjacent if and only if $ann(xy)\;{\neq}\;(x)\;{\cup}\;ann(y)$ . In this paper, we study basic properties of AG(P).

Keywords

Annihilator graph; zero-divisor graph; commutator poset;

Citations & Related Records

Reference

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