摘要
以弱射影为工具,得到了De Morgan代数的主同余关系的刻划,在此基础上证明了同余格θ(L)为原子的充要条件是L为弱原子的,然后通过引进极小商的概念,描绘了θ(L)是布尔格的De Morgan代数L。
In this paper a characterization of principal congruences of De Morgan algebras is given by the notion of weak projection and from it we derive that the congruence lattice θ(L) is atomic iff L is weakly atomic. Furthermore, we describe the De Morgan algebras with Boolean congruence lattices by using the notion of the minimal quotient.
出处
《纯粹数学与应用数学》
CSCD
1998年第4期7-10,共4页
Pure and Applied Mathematics
基金
湖北省自然科学基金
