摘要
本文对BCI-代数一书中提出的二个未解决的问题:(1)是否存在一个局部完备的真BCH-代数而不是完备的BCH-代数;(2)是否存在极不BCI的BCH-代数给出了答案,同时得到一个结论:对在(2)中所讨论的有限BCI-代数,均是奇诣零代数。
This paper has supplied the answer to the two unsolved problems mentioned in BCI-Algebra namely:(1) Does it exist that there is a genuine locally-completed BCH-Algebra in stead of a complete one;(2) Does it exist that there is an extremely not BCI-Subodinate to BCH-Algebra. As a result, it is the conclusion that the finite BCI-Algebra discussed in (2) is nothing but odd Nil-radical.
出处
《山西师大学报（自然科学版）》
1997年第2期1-4,共4页
Journal of Shanxi Teachers University(Natural Science Edition)
关键词
局部完备
BCH-代数
循环
奇指幂代数
Locally complete Extremely not BCI-Subordinate to BCH-Algebra Cycle Odd Nil-radical
