The maximal subsemigroups of semigroups of transformations preserving or reversing the orientation on a finite chain

被引：17

作者：

Dimitrova, Ilinka ^{[1
]}

Fernandes, Vitor H. ^{[2
,3
]}

Koppitz, Joerg ^{[4
]}

机构：

[1] SW Univ Neofit Rilski, Fac Math & Nat Sci, Blagoevgrad 2700, Bulgaria

[2] Univ Nova Lisboa, Fac Ciencias & Tecnol, Dept Matemat, P-2829516 Caparica, Portugal

[3] Univ Lisbon, Ctr Algebra, P-1649003 Lisbon, Portugal

[4] Univ Potsdam, Inst Math, D-14469 Potsdam, Germany

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2012年 / 81卷 / 1-2期

关键词：

finite transformation semigroup; orientation-preserving and orientation-reversing transformations; maximal subsemigroups;

D O I：

10.5486/PMD.2012.4897

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The study of the semigroups OPn, of all orientation-preserving transformations on an n-element chain, and ORn, of all orientation-preserving or orientation-reversing transformations on an n-element chain, has began in [17] and [5]. In order to bring more insight into the subsemigroup structure of OPn and ORn, we characterize their maximal subsemigroups.

引用

页码：11 / 29

页数：19

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