格序群的极小扭类、准素扭类和极扭类  

MINIMAL TORSION CLASSES, PRIMARY TORSION CLASSES AND POLAR TORSION CLASSES OF LATTICE ORDERED GROUPS

作　　者：元如林[1] 

机构地区：[1]华东地质学院

出　　处：《数学杂志》1997年第1期89-94,共6页Journal of Mathematics

摘　　要：本文给出了格序群的扭类是准素扭类的一个充分必要条件，证明了任一非零扭类至少包含一个极小扭类，从而将文〔１〕和〔２〕中在有限制条件情况下的有关结论推广到无任何限制条件的情形。本文还给出了一个扭类是极扭类的几个充分必要条件，并得到了格序群的极扭类。This paper gives a necessary and sufficient condition for primary torsion classes, and proves that any non zero torsion class contains at least a minimal torsion class, so that it cancels the restriction condition of the similar results in and . The paper also obtains some necessary and sufficient conditions for polar torsion classes and gives the relationship among polar torsion classes, primary torsion classes and minimal torsion classes.

关 键 词：格序群 扭类 极扭类 准素扭类 极小扭类 

分 类 号：O152.7[理学—数学]