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Stone代数的素理想与同余关系
引用本文:黎爱平.Stone代数的素理想与同余关系[J].上饶师范学院学报,1999(3).
作者姓名:黎爱平
作者单位:上饶师专数学系
摘    要:用Stone代数的素理想集刻划了Stone代数的每一个同余关系,并证明了Con(L)可以嵌入于Z(P(L))中。由此证得了Stone代数的同余扩张性,并给出了Stone代数的同余理想用素理想集刻划的表达式

关 键 词:Stone代数  素理想  同余关系

The Prime Ideals and Congruence Relations of Stone Algebra
Li AiPing.The Prime Ideals and Congruence Relations of Stone Algebra[J].Journal of Shangrao Normal College,1999(3).
Authors:Li AiPing
Abstract:In this PaPer,any congruences relation of Stone algebra is characterized by the sets of Prime ideals of Stone algebras,and we embed Con(L) into the lattice Z(P(L)). By this result,the author have Proved the congruences extension Property of Stone algebras,and given identity,which the congruences ideals of Stone algebras is characterized by set of Prime ideals of Stone algebras.
Keywords:Stone algebra  Prime ideal  congruence relation  
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