非连通偏序集的有限关联代数上对合的分类
Classification of involutions on finitary incidence algebras of non-connected posets
摘要：
设$FI(X,K)$是非连通偏序集$X$在特征不同于$2$的域$K$上的有限关联代数.对于$FI(X,K)$的每个乘法自同构都是内的情形，给出了$FI(X,K)$上两个对合等价的充要条件.
英文摘要：
Let $FI(X,K)$ be the finitary incidence algebra of a non-connected partially ordered set $X$ over a field $K$ of characteristic different from $2$. For the case where every multiplicative automorphism of $FI(X,K)$ is inner, we present necessary and sufficient conditions for two involutions on $FI(X,K)$ to be equivalent.
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。
