论文标题
克利福德半群的跨连接
Cross-connections in Clifford semigroups
论文作者
论文摘要
Clifford Semigroup倒数（通常仅称为Clifford Semigroup）是一群人。它是一个反向半群，实际上，是最早研究的半群类。在简短的说明中，我们从跨连接的角度讨论了克利福德半群的各个结构方面。特别是，鉴于Clifford Semigroup，我们表明正常锥体的半群对于原始的半群也是同构，即使它不是单型物体。因此，我们看到Clifford Semigroups中的交叉连接描述会退化。此外，我们还专注于讨论，以任意半层次的方式提供跨连接结构的描述。
An inverse Clifford semigroup (often referred to as just a Clifford semigroup) is a semilattice of groups. It is an inverse semigroup and in fact, one of the earliest studied classes of semigroups. In this short note, we discuss various structural aspects of a Clifford semigroup from a cross-connection perspective. In particular, given a Clifford semigroup, we show that the semigroup of normal cones is isomorphic to the original semigroup, even when it is not a monoid. Hence, we see that cross-connection description degenerates in Clifford semigroups. Further, we specialise the discussion to provide the description of the cross-connection structure in an arbitrary semilattice, also.
