弗兰克尔:一代公理化集合论大师  

A. H. Fraenkel: A Great Man of Axiomatic Set Theory

作　　者：王淑红[1,2] 邓明立[2] 

机构地区：[1]西北大学数学与科学史研究中心,陕西西安710127 [2]河北师范大学数学与信息科学学院,河北石家庄050024

出　　处：《自然辩证法通讯》2015年第1期134-141,共8页Journal of Dialectics of Nature

基　　金：国家自然科学基金资助项目(项目编号:11271108;11401161);河北省自然科学基金资助项目(项目编号:A201 4205055)

摘　　要：德国犹太数学家亚伯拉罕·阿道夫·弗兰克尔,一生著述丰厚,运用公理化观念发展了p进域、环论、公理化集合论等多个数学理论,是p进域和环论的公理化实践者,是当之无愧的一代公理化集合论大师,同时又是出色的科技史家和教育家。通过对文献的考证和分析,对其生平、成就和影响进行较系统的梳理和总结。A. H. Fraenkel, a German Jew, has published lots of works in many research fields. He developed the p-adic field, the ring theory, the axiomatic set theory and many other mathematical theories with the help of axiomatic idea. He is a practitioner who promoted the axiomatization of the p-adic field and the ring theory. A deserved master of axiomatic set theory, he is at the same time an excellent historian of science and technology and educator. By document researching and concept analyzing, this paper gives a systematic study of the life, contribution and influence ofA. H. Fraenkel.

关 键 词：亚伯拉罕·阿道夫·弗兰克尔 p进域 环论 公理化集合论 

分 类 号：N011.2[自然科学总论—科学技术哲学]