AI 中文总结
该研究围绕DTS拟群，给出其代数描述、与三角剖分伪曲面的关联说明，并报告相关计数结果。
AI 中文摘要
有向三元组系统可定义为完全有向图分解为有向三元组⟨x,y,z⟩，通过设定xy=z、yz=x、xz=y及uu=u，可得到一个可能为拟群的二元运算。我们给出此类拟群的代数描述，说明其与三角剖分伪曲面的关联方式，并报告计数结果。
英文摘要
A directed triple system can be defined as a decomposition of a complete digraph to directed triples $\langle x,y,z\rangle$. By setting $xy =z$, $yz =x$, $xz =y$ and $uu =u$ we get a binary operation that can be a quasigroup. We give an algebraic description of such quasigroups, explain how they can be associated with triangulated pseudosurfaces and report enumeration results.
Journal refJ. Algebra Appl. 14 (2015), 1550089
