双Stone代数理想与双Stone代数的直积分解

Ideals and Direct Decomposition of Duble Stone Algebras

引入双Ｓｔｏｎｅ代数理想的概念，利用这个概念得到双Ｓｔｏｎｅ代数是既约的条件，并且在完备的条件下给出了双Ｓｔｏｎｅ代数有既约分解的一个充要条件．

A concept of double Stone algebra ideals is proposed.Using this concept,we give a condition to ensure that double Stone algebra ducible.Moreover,a necesswry and sufficient condition,under which double Stone algebra has irreducible decomposition when double Stone algebra is a complete lattice,is obtained.