弱Stone-代数的同余三元组

Congruence triples of weak Stone algebras

目的研究弱Stone-代数同余的表示。方法构造同余三元组,并分析其性质。结果与结论一个弱Stone-代数L的任一个同余φ都可用同余三元组〈θ_1,θ_2,θ_3〉来表示,其中θ_1是布尔代数同余,θ_2,θ_3是格同余,并给出L是同余可换的充分条件。

Objective—To study the representation of the congruences on the Stone algebra.Methods—The congruence triples are constructed and its properties analyzed.Results and Conclusion—Every congruence on a weak Stone algebra Lcan be represented by a congruence triple〈θ1,θ2,θ3〉,where θ_1is a Boolean congruence,θ2,θ3are the lattice congruences,anda sufficient condition is given that a weak Stone algebra is congruence permutable.