A Generalization of the Cozero-Divisor Graph of a Commutative Ring

Let Formula: see text be a commutative ring with identity and Formula: see text be an ideal of Formula: see text. The zero-divisor graph of Formula: see text with respect to Formula: see text, denoted by Formula: see text, is the graph whose vertices are the set Formula: see text with distinct vertices Formula: see text and Formula: see text are adjacent if and only if Formula: see text. The cozero-divisor graph Formula: see text of Formula: see text is the graph whose vertices are precisely the non-zero, non-unit elements of Formula: see text and two distinct vertices Formula: see text and Formula: see text are adjacent if and only if Formula: see text and Formula: see text. In this paper, we introduced and investigated a new generalization of the cozero-divisor graph Formula: see text of Formula: see text denoted by Formula: see text. In fact, Formula: see text is a dual notion of Formula: see text.