论文标题
Semhypergroups的免费产品
Free Product on Semihypergroups
论文作者
论文摘要
在先前的论文[1] [MR4101040]中，我们启动了一项系统研究，并对与此类对象相关的一些重要的分析和代数对象进行了详尽的讨论。在本文中，我们研究了半正生组类别的自由结构。我们表明，自然的自由产品结构以及自然拓扑结构虽然无法为拓扑组提供免费产品，但在庞大的非平凡的“纯”半透明群中效果很好，其中包含大多数众所周知的示例，包括非平凡的coset和Orbit空间。
In a previous paper [1] [MR4101040], we initiated a systematic study of semihypergroups and had a thorough discussion about some important analytic and algebraic objects associated to this class of objects. In this paper, we investigate free structures on the category of semihypergroups. We show that the natural free product structure along with the natural topology, although fails to give a free product for topological groups, works well on a vast non-trivial class of `pure' semihypergroups containing most of the well-known examples including non-trivial coset and orbit spaces.
