PRESENTATIONS FOR SINGULAR SUBSEMIGROUPS OF THE PARTIAL TRANSFORMATION SEMIGROUP

被引：13
|
作者：
East, James [1 ]
机构：
[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
来源：
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2010年 / 20卷 / 01期
关键词：
Transformation semigroups; presentations; RANKS; VINES;
D O I：
10.1142/S0218196710005509
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The partial transformation semigroup PT(n) is the semigroup of all partial transformations on the finite set n = {1, ..., n}. The transformation semigroup T(n) subset of PT(n) and the symmetric group S(n) subset of T(n) consist of all (full) transformations on n and permutations on n, respectively. We obtain presentations, in terms of generators and relations, for the singular subsemigroups PT(n)\S(n) and PT(n)\T(n). We also calculate the ranks of both subsemigroups.
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页码：1 / 25
页数：25
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