讨论了部分可换半群的子代数与同余关系之间的关系,进一步研究部分可换半群的商代数的结构。证明了部分可换半群上的Riesz子代数可诱导出满足消去律的同余关系,且通过此同余关系得到的商代数是满足正律的。
In this paper,the relationships of subalgebras and the congruences on partial abelian monoids are discussed.Furthermore,the structures of the quotient of partial abelian monoids are studied.It is proved that the congruences generated by Riesz ideals satisfy the cancellative law,and the quotient must be positive.