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

作　　者：杨胜良[1] 

机构地区：[1]甘肃工业大学基础科学系,甘肃兰州730050

出　　处：《甘肃工业大学学报》2001年第3期98-99,共2页Journal of Gansu University of Technology

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 .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 极扭类 

分 类 号：O152[理学—数学] O153.1[理学—基础数学]