부산대학교 도서관

Let Z(R)′R1≠0RΓ′(R)Z(R)′w∉zRz∉wRqRRΓ′(Zn)Γ′(Zn) be the set of all non-unit and non-zero elements of ring Z(R)′R1≠0RΓ′(R)Z(R)′w∉zRz∉wRqRRΓ′(Zn)Γ′(Zn), a commutative ring with identity Z(R)′R1≠0RΓ′(R)Z(R)′w∉zRz∉wRqRRΓ′(Zn)Γ′(Zn). The cozero-divisor graph of Z(R)′R1≠0RΓ′(R)Z(R)′w∉zRz∉wRqRRΓ′(Zn)Γ′(Zn), denoted by the notation Z(R)′R1≠0RΓ′(R)Z(R)′w∉zRz∉wRqRRΓ′(Zn)Γ′(Zn), is an undirected graph with vertex set Z(R)′R1≠0RΓ′(R)Z(R)′w∉zRz∉wRqRRΓ′(Zn)Γ′(Zn). Any two distinct vertices w and z are adjacent if and only if Z(R)′R1≠0RΓ′(R)Z(R)′w∉zRz∉wRqRRΓ′(Zn)Γ′(Zn) and Z(R)′R1≠0RΓ′(R)Z(R)′w∉zRz∉wRqRRΓ′(Zn)Γ′(Zn), where Z(R)′R1≠0RΓ′(R)Z(R)′w∉zRz∉wRqRRΓ′(Zn)Γ′(Zn) is the ideal generated by the element q in Z(R)′R1≠0RΓ′(R)Z(R)′w∉zRz∉wRqRRΓ′(Zn)Γ′(Zn). In this article, we evaluate the Sombor index of the graphs Z(R)′R1≠0RΓ′(R)Z(R)′w∉zRz∉wRqRRΓ′(Zn)Γ′(Zn) for different values of n. Additionally, we compute Z(R)′R1≠0RΓ′(R)Z(R)′w∉zRz∉wRqRRΓ′(Zn)Γ′(Zn), the cozero-divisor graph Sombor spectrum.