Stone代数次直积表示定理和Stone引理的等价性  

EQUIVALENCE OF THE SUBDIRECT PRODUCT REPRESENTATION THEOREM OF STONE ALGEBRAS AND STONE’S LEMMA ON DISTRIBUTIVE LATTICES

作　　者：张玉琦[1] 

机构地区：[1]内蒙古师范大学离散数学研究所,内蒙古呼和浩特010022

出　　处：《数学杂志》2004年第6期627-630,共4页Journal of Mathematics

摘　　要：本文证明了分配格L上的Stone引理和BirkhoffG .得到的Stone代数次直积表示定理是等价的 .因而Stone代数次直积表示定理等价于质理想定理 .This paper proves that Stone’s Lemma on distributive lattices is equivalent to the subdirect product representation theorem of Stone algebras of Birkhoff G. Therefore, the subdirect product representation theorem of Stone algebras is equivalent to the prime ideal theorem(PIT).

关 键 词：Stone引理 质理想定理 STONE代数 次直积 BOOLE代数 

分 类 号：O153.1[理学—数学]