从代数角度研究了右侧幂等Quantale中的理想和理想余核的具体结构,并且证明了右侧幂等Quantale中的理想和理想余核分别是主理想和简单理想余核.同时讨论了Quantale中理想与同余之间的关系.
From the view of algebra, the concrete constructions of ideals and ideal conuclei on right-sided and idempotent Quantale are studied, and it is proved that every ideal is a principal ideal and every ideal conucleus is simple. In the meantime, the relations between the ideal and the congruence were discussed.