PRESENTATIONS OF THE INVERSE BRAID MONOID
PRESENTATIONS OF THE INVERSE BRAID MONOID
复制标题
反辫子幺半群的介绍
DOI：
10.1142/s0218216506004609
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发表时间：
2006
影响因子：
0.5
通讯作者：
N. D. Gilbert
中科院分区：
文献类型：
--
作者：
N. D. Gilbert
逆辫幺半群由n-弦辫组成，其中一些子集的字符串已被删除。这样的部分辫子可以通过删除任何不完整的字符串的连接来组成，并且这种操作给出了逆幺半群的结构。我们首先使用群胚表示，然后推导出等价的逆幺半群表示。特别是，我们提供了一个新的推导的介绍，已经给出了Easdown和拉弗斯。
The inverse braid monoid consists of n-string braids from which some subset of the strings has been deleted. Such partial braids may be composed by concatenation followed by the deletion of any incomplete strings, and this operation gives the structure of an inverse monoid. We derive presentations of by first using a groupoid presentation, and then deriving equivalent inverse monoid presentations. In particular, we offer a new derivation of the presentation for that has been given by Easdown and Lavers.