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- Title
On the Cozero-Divisor Graphs of Commutative Rings and Their Complements.
- Authors
AFKHAMI, MOJGAN; KHASHYARMANESH, KAZEM
- Abstract
Let R be a commutative ring with non-zero identity. The cozero-divisor graph of R, denoted by Γ′(R), is a graph with vertices in W*(R), which is the set of all non-zero and non-unit elements of R, and two distinct vertices a and b in W*(R) are adjacent if and only if a ∉ bR and b ∉ aR. In this paper, we characterize all commutative rings whose cozero-divisor graphs are forest, star, double-star or unicyclic.
- Subjects
DIVISOR theory; COMMUTATIVE rings; VERTEX operator algebras; BINARY stars; UNICYCLES; RINGS with divided powers; INTEGRAL domains
- Publication
Bulletin of the Malaysian Mathematical Sciences Society, 2012, Vol 35, Issue 4, p935
- ISSN
0126-6705
- Publication type
Article