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格序群扭类与半单类之间的Galois联络
Galois connection between torsion and semi-simple classes of lattice-ordered groups
【摘要】 建立了格序群扭类与半单类之间的一种重要联系Galois联络 ,利用这种联系研究了极扭类的存在性并且给出了极扭类的一种表示 ,推广了格序群扭类的基本定理 .
【Abstract】 A critical connection between torsion and semi simple classes of lattice ordered groups, viz Galois connection is developed and, using it, the existence of polar torsion class is studied and one of its expressions is given as well, so that the elemental theorems of torsion class of lattice ordered groups are extended.
【关键词】 格序群;
扭类;
半单类;
Galois联络;
【Key words】 lattice ordered groups; torsion class; semi simple class; Galois connection;
【Key words】 lattice ordered groups; torsion class; semi simple class; Galois connection;
- 【文献出处】 甘肃工业大学学报 ,Journal of Gansu University of Technology , 编辑部邮箱 ,2001年03期
- 【分类号】O153.1
- 【被引频次】1
- 【下载频次】43