Congruences on monoids of transformations preserving the orientation on a finite chain

被引：31
作者：
Fernandes, Vitor H. [1 ,2 ]
Gomes, Gracinda M. S. [1 ,3 ]
Jesus, Manuel M. [1 ,2 ]
机构：
[1] Univ Lisbon, Ctr Algebra, P-1649003 Lisbon, Portugal
[2] Univ Nova Lisboa, Dept Matemat, Fac Ciencias & Tecnol, P-2829516 Monte De Caparica, Caparica, Portugal
[3] Univ Lisbon, Fac Ciencias, Dept Matemat, P-1749016 Lisbon, Portugal
来源：
JOURNAL OF ALGEBRA | 2009年 / 321卷 / 03期
关键词：
Congruences; Orientation-preserving; Orientation-reversing; Transformations; SEMIGROUPS; MAPPINGS;
D O I：
10.1016/j.jalgebra.2008.11.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main subject of this paper is the description of the congruences on certain monoids of transformations on a finite chain X-n with it elements. Namely, we consider the monoids ORn and PORn of all full, respectively partial, transformations on X-n that preserve or reverse the orientation, as well as their respective submonoids OPn and POPn of all orientation-preserving elements. The inverse monoid PORIn of all injective elements of PORn is also considered. (C) 2008 Elsevier Inc. All rights reserved.
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收藏
页码：743 / 757
页数：15
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