次直不可约Quasi-Stone代数的判定

The decision of the subdirectlyirreducible Quasi-Stone algebras

目的研究次直不可约Quasi-Stone代数的判定定理。方法利用次直不可约代数的判定条件。结果与结论一个Quasi-Stone代数是次直不可约代数当且仅当它的同余格是一个二元链或一个三元链。

Purposes—To study the decision theorem of the subdirectly irreducible Quasi-Stone algebras.Methods—The decision conditions of the subdirectly irreducible algebras are used to investigate the aforesaid theorem.Results and Conclusion—A Quasi-Stone algebra is the subdirectly irreducible algebra if and only if its congruence lattice is a 2-element chain or a 3-element chain.