弱 Stone-代数的同余三元组 |
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引用本文: | 沈吓妹.弱 Stone-代数的同余三元组[J].宝鸡文理学院学报(自然科学版),2015(4):16-20. |
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作者姓名: | 沈吓妹 |
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作者单位: | 宁德师范学院 数学系,福建 宁德,352100 |
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基金项目: | 宁德师范学院青年专项资助项目 |
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摘 要: | 目的研究弱Stone-代数同余的表示。方法构造同余三元组,并分析其性质。结果与结论一个弱Stone-代数L的任一个同余φ都可用同余三元组〈θ_1,θ_2,θ_3〉来表示,其中θ_1是布尔代数同余,θ_2,θ_3是格同余,并给出L是同余可换的充分条件。
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关 键 词: | 弱 Stone-代数 同余三元组 同余可换 |
Congruence triples of weak Stone algebras |
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Abstract: | Objective—To study the representation of the congruences on the Stone algebra.Meth-ods—The congruence triples are constructed and its properties analyzed.Results and Conclusion—Ever-y congruence on a weak Stone algebra L can be represented by a congruence triple 〈θ1 ,θ2 ,θ3〉,whereθ1 is a Boolean congruence,θ2 ,θ3 are the lattice congruences,anda sufficient condition is given that a weak Stone algebra is congruence permutable . |
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Keywords: | weak Stone algebra congruence triple congruence permutable |
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