具有析取性质的软代数  

THE SOFT ALGEBRAS WITH THE DISJUNCTION PROPERTY

作　　者：裴礼文[1] 罗从文[1] 

机构地区：[1]武汉大学数学系

出　　处：《华中师范大学学报（自然科学版）》1996年第3期249-252,共4页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金

摘　　要：证明了具有析取性质的软代数所对应的拓扑空间是含有一个对合同胚的布尔空间，由此得到一个软代数具有析取性质的充要条件是它的每个素理想都是极大理想．此外，证明了既约的具有析取性质的软代数仅有二元链及四元可补格Ｍ２．The topological spaces which arise as duals of soft algebras with the disjunction property may be characterized as the boolean spaces which possess an involutorial homeomorphism. This characterization is used to prove that a soft algebra has the disjunction property if and only if its prime ideas are the maximal ideas. It also is proved that the two element lattice and four element complementary lattice M 2 are the only irreducible soft algebras with the disjunction property.

关 键 词：软代数 析取性质 布尔空间 分配格 拓扑空间 对合同胚 素理想 

分 类 号：O153.1[理学—数学]