矩形半环簇的拟强半格

Pseudo-strong Semilattice of Rectangular Semiring Varieties

研究了乘法正规的可分配半环的结构,且证明了这种半环是矩形半环簇的拟强半格,并得出这种半环和乘法半群为带的含幺半环的直积是R-半环的拟强半格。

The structure of multiplicative normal and distributive semiring has been studied. We prove that this kind of semiring is a pseudo-strong semilattice of rectangular semiring varieties, and characterize the direct product of this kind of semiring and semiring, which has a unit element and a multiplicative semigroup band, as a pseudo-strong semilattice of R-semiring.