对合Quantale代数上的同余关系

Congruence relations on involutive Quantale algebras

引入对合Q-代数及其上的核映射、同余关系等概念,得到了对合Q-代数上的同余关系与核映射是一一对应的,研究了对合Q-代数同余与对合Q-代数同态之间的关系,最后给出了对合Q-代数乘积上的同余关系的一个重要性质。

The concepts of involutive Q-algebras and its nuclei, congruence relations are introduced. Firstly it is proved that there is a one-to-one correspondence between the congruence relations and the nuclei on every involutive Q-algebra. Then the relationship between the congruences relation and the homomor phisms is discussed. Finally, an important property of, the congruence relations on the product of involutive Q-algebras is given.