一类半环上的最小分配格同余

The Least Distributive Lattice Congruence on a Class of Semirings

同余是研究半环结构的主要工具,而分配格是一类特殊的半环.文章主要借助文献[3]中的方法,定义交换分配半环上的一个同余,并且验证该同余是最小分配格同余.

Congruence is a major tool in studying of semiring＇s structure and distributive lattice is a special semiring . In this paper, a congruence on a commutative distributive semiring is defined by using of a style of congruence in reference [ 3 ]. Moreover, the result that the congruence is the least distributive lattice congruence is proved.