加法半群为半格的半环上Green-关系
The Green's Relations on a Semiring with Additive Semigroup as Semilattice

利用半群代数理论研究了加法半群为半格的半环上的4种不同类型的Green-关系,并对它们的特征进行了刻画,证明了在加法半群为半格的半环上(f)=(f)且(n)=(n).
Four different kinds of Green's relations on a semiring with additive semigroup as semilattice is studied by the algebraic theory of semigroups. Some characterizations of these Green's relations are given. Also, it is shown that and on such a semiring