关于 G.Birkhoff的两个问题(英)

以弱射影为工具，将Birkhoff的问题72和73推广到DeMorgan代数上，得到的主要结果为：1．DeMorgan代数的以任意同余理想为核的同余关系唯一的充要条件是此DeMorgan代数为弱可补的．2．DeMorgan代数的同余格为布尔代数的充要条件是此DeMorgan代数有限．

LIPSCHITZ STABILITY OF DYNAMICAL SYSTEMS IN TERMS OF TWO MEASURES

Coyeptes of (h0,h) - (Lipschitz stability, (h0, h) -Lipschitz (weakly) asymptotic stability are introduced for dynamical sytems. Necessary and sufficient conditions are given respectively.