【摘要】 <正> 在文[1]中刻画了每一个子代数都是理想的代数,文[2]刻画了每一个子代数都是左理想的代数.本文刻画每一个子空间部是子你数的(?),并称它为(?)代数.主要结果是:定理设A是域F上的交错代数,且A是HB—代数,则A是且仅是下面类型的代数之(?)(一)(?)乘代数;(二)一(?)幂等代数(?),(?)中(?)是幂(?)元;(三)A=Fe+D向量空间的直和,乘法表有二种:1)e~2=e,D~2=0,eD=0(?),D~2=0,De=0,ed=d,(?)d∈D;(四)更多还原

【Abstract】 The algebra in which every subspace is a subalgebra is called as HB-algebra. In this paper, we have discussed that A is HB-algebra if and only if A are aigebras in following fomes.I zerealgebra;Ⅱ-one-dimensional power equal algebra Fe; ill.derect sum of the vecter space where multiplication table has two forms as 1) is a direct sum of the vecter space where multiplication has two forms: l) is a direct sum of the vecter space where multiplication table has two forms: 1) when the multiplication tables of B and D are and , the multiplication table of A is ei2) when the multiplication table of B and D are ekei and ,the multiplication table of更多还原