梁朴.满足∨A∈B的非原子布尔代数的相对结构[J].数学研究及应用,1985,5(2):15~20 |
满足∨A∈B的非原子布尔代数的相对结构 |
The Relative Structure of the Boolean Algebras which are not Atomic and Satisfy that ∨A∈B |
投稿时间:1983-07-28 |
DOI:10.3770/j.issn:1000-341X.1985.02.006 |
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英文关键词: |
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中文摘要: |
本文讨论了满足∨A∈B的非原子布尔代数与原子、无原子布尔代数在结构上的关系,给出了任意两个这种类型的布尔代数同构的充要条件,并给出了它的一些推论。 |
英文摘要: |
In this paper we discuss the structural relations between the Boolean algebras which are not atomic and satisfy that ∨A∈B and the Boolean algebras which are atomic or atomless, present the sufficient and necessary condition that any two Boolean algebras of this kind are isomorphic and draw a lot of corollary of it. |
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