二型序数的若干性质  

SOME PROPERTIES OF TWO-TYPE ORDINAL NUMBERS

作　　者：刘恒兴[1] 栾静闻[2] 

机构地区：[1]武汉大学,武汉430072 [2]武汉水利电力大学,武汉430072

出　　处：《数学杂志》2000年第2期193-196,共4页Journal of Mathematics

基　　金：国家自然科学基金!资助项目 (198710 74 )

摘　　要：本文定义了二型序数的概念 ,并且在聚合公理系统 z Fc上讨论了它们的某些性质 ,证明了二型序数满足极小元定理和超限归纳原理 .由此得出二型序数理论是序数理论的推广 .In this paper,we introduce a definition of two type ordinal numbers, and discuss some properties of them on ZFc conglomerate axiomatic system[3].The paper shows that the two type ordinal numbers satisfy the Minimal Element Theorem and the Principle of Transfinite Induction.We can conclude that the two-type ordinal number theory is a extension of the ordinal number theory.

关 键 词：聚合 序数 二型序数 良基关系 良序关系 

分 类 号：O144[理学—数学]