ON INVERSES AND ALGEBRAIC LOOPS OF CO-H-SPACES  

作　　者：Dae-Woong LEE 

机构地区：[1]Department of Mathematics,and Institute of Pure and Applied Mathematics,Chonbuk National University,567 Baekje-daero,Deokjin-gu,Jeonju-si,Jeollabuk-do 561-756,Republic of Korea

出　　处：《Acta Mathematica Scientia》2014年第4期1193-1211,共19页数学物理学报（B辑英文版）

基　　金：supported by Basic Science Research Program through the National Research Foundation of Korea (NRF);the Ministry of Education,Science and Technology (2010-0022035)

摘　　要：In this paper we study the properties of homotopy inverses of comultiplications and Mgebraic loops of co-H-spaces based on a wedge of spheres. We also investigate a method to construct new comultiplications out of old ones by using a group action. We are primarily interested in the algebraic loops which have inversive, power-associative and Moufang properties for some comultiplications.In this paper we study the properties of homotopy inverses of comultiplications and Mgebraic loops of co-H-spaces based on a wedge of spheres. We also investigate a method to construct new comultiplications out of old ones by using a group action. We are primarily interested in the algebraic loops which have inversive, power-associative and Moufang properties for some comultiplications.

关 键 词：INVERSES co-H-spaces comultiplications basic （Whitehead） product Hopf- Hilton invariants algebraic loops inversivity power-associativity Moufang property 

分 类 号：O151.2[理学—数学]