三元群的二元表示
Bi-element representations of ternary groups
摘要：
研究了三元半群和三元群的一般性质。建立了每一个表示矩阵对应一对元素的二元表示论，考虑了与标准理论的联系，构造了几个具体的例子。为了清楚起见，我们给出了经典的Gluskin-Hosszú定理和Post定理的简化版本。
英文摘要：
General properties of ternary semigroups and groups are considered. The bi-element representation theory in which every representation matrix corresponds to a pair of elements is built, connection with the standard theory is considered and several concrete examples are constructed. For clarity the shortened versions of classical Gluskin-Hosszú and Post theorems are given for them.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
