Stone泛补代数  

Stonean Generalcomplemented Algebras

作　　者：张玉琦[1] 

机构地区：[1]内蒙古师范大学科学史研究所,呼和浩特010022

出　　处：《数学学报（中文版）》2005年第4期637-646,共10页Acta Mathematica Sinica：Chinese Series

摘　　要：本文定义并研究泛补代数和Stone泛补代数,得到Stone泛补代数的泛补骨架B*(L),素滤子和三元组(B*(L),D*(L),(?)(L))刻画,又得到Stone泛补代数是次直既约Stone泛补代数的次直积的充要条件以及泛补代数是相对Stone泛补代数的特征.This paper defines and studies generalcomplemented algebras and Stonean generalcomplemented algebras, and obtains some fundamental results: the characterizations of the Stonean generalcomplemented algebra L by its skeleton B* (L), prime filters and triple (B*(L),D*(L),(?)(L)); the necessary and sufficient condition that the Stonean generalcomplemented algebra L could be represented as the subdirect product of the subdirectly irreducible Stonean generalcomplemented algebras, and the characteristics of the relatively Stonean generalcomplemented algebras.

关 键 词：泛补代数 Stone泛补代数 次直既约Stone泛补代数 

分 类 号：O153.1[理学—数学]