THE IDENTITY-SUMMAND GRAPH OF COMMUTATIVE SEMIRINGS
THE IDENTITY-SUMMAND GRAPH OF COMMUTATIVE SEMIRINGS
An element r of a commutative semiring R with identity is said to be identity-summand if there exists <TEX>$1{\neq}a{\in}R$</TEX> such that r+a = 1. In this paper, we introduce and investigate the identity-summand graph of R, denoted by <TEX>${\Gamma}(R)$</TEX>. It is the (undirected) graph whose vertices are the non-identity identity-summands …