群像余代数的结构研究

摘要

In this paper,we investigate the sructures of grouplike coalgebras K[S]and K[G], where S is a non-empty set and G is a monoid whose identity e is the only invertible element of G,and obtain the conclusion that the K-linear isomorphism K[G×G']K[G]K[G']de-fined by f'(g,g')=g g',for all g∈G,g'∈G'is an isomorphism of coalgebra.%研究群像余代数K[S]和K[G]的结构,其中S是一个非空集合,G是一个只有单位元和逆元的幺半群,得到结论：对任意g∈G,g＇∈G＇,定义f＇(g,g＇)=g g＇,则线性同构k[G×G＇] k[G] k[G＇]是余代数同构。