Stone Algebras in Complete Rings of Sets
Yuqi Zhang · Neimenggu Shi-da xuebao. Zhexue shehui kexue hanwen ban · 2005
In this paper,the following results are obtained: ① A complete ring of sets L is a Stone algebra iff every vompletely prime filter of L is exactly contained in a maximal filter. ② A complete ring of sets L is a Stone algebra iff L is the Cartesian product of product-irreducible Stone algebras. ③ A complete ring of sets L is a Lukasiewicz trivalent algebra iff L is isomorphic to a power set lattice.