The Zero-divisor Graph of a Commutative Semigroup
- F. R. DeMeyerb(Author),
- ,
- K. Schneidera(Author)
- aMesa State College,
- bColorado State University,
- cBradley University
Research Output: Contribution to journal Article Peer-review
Abstract
An undirected graph Γ(S) is associated to each commutative multiplicative semigroup S with 0. The vertices of the graph are labeled by the nonzero zero-divisors of S, and two vertices x, y are connected by an edge in case xy = 0 in S. The properties and possible structures of the graph Γ(S) are studied.
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