论文标题
逆逆和平面单肌
Ramified inverse and planar monoids
论文作者
论文摘要
受损的单体是作者引入的一类单肌。考虑这些单体的主要动机来自结理论，请参见[3,4,5]。因此，在[2]中，我们研究了符号群和Brauer Monoid等人的损坏的单体。本文研究了反对称单体的影响，在结理论中也起着显着的作用，请参见[10]。这也引入了平面分支的单体的概念。特别是，我们为通过非交叉固定分区引起的某些平面损坏的单型肉体提供了演示。
Ramified monoids are a class of monoids introduced by the authors. The main motivation for considering these monoids comes from knot theory, see [3, 4, 5]. Thus, in [2] we have studied the ramified monoids of the symmeytric group and of the Brauer monoid, among others. This paper study the ramified of the inverse symmetric monoid, which plays a notable role in knot theory as well, see [10]. Here is also introduced the notion of planar ramified monoid. In particular, we give presentations for some planar ramified monoids arising from noncrossing set partitions.
