The rank of the inverse semigroup of partial automorphisms on a finite fence

被引：5
|
作者：
Koppitz, J. [2 ]
Musunthia, T. [1 ]
机构：
[1] Silpakorn Univ, Dept Math, Fac Sci, Nakhon Pathom 73000, Thailand
[2] Bulgarian Acad Sci, Inst Math & Informat, Acad G Bonchev Str Bl 8, Sofia 1113, Bulgaria
来源：
SEMIGROUP FORUM | 2021年 / 102卷 / 02期
关键词：
Partial injections; Finite transformation semigroup; Fence; Rank; Generators; TRANSFORMATIONS; NUMBER;
D O I：
10.1007/s00233-020-10150-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A fence is a particular partial order on a (finite) set, close to the linear order. In this paper, we calculate the rank of the semigroup FIn of all order-preserving partial injections on an n-element fence. In particular, we provide a minimal generating set for FIn. In the present paper, n is odd since this problem for even n was already solved by I. Dimitrova and J. Koppitz.
引用
收藏
页码：437 / 455
页数：19
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