In the latter half of this paper, mak-ing use a lemma about a field of characteristic 0, some properties of C[S] are generalized tothose of the semigroup algebras over field of characteristic 0.

• 利用关于特征为零的域的一个引理,把C[S]上一些性质推广到了一般的零特征域上的半群代数上。