ON THE MONOID OF ALL PARTIAL ORDER-PRESERVING EXTENSIVE TRANSFORMATIONS

被引：21

作者：

Dimitrova, Ilinka ^{[2
]}

Koppitz, Joerg ^{[1
]}

机构：

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

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

来源：

COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 05期

关键词：

Extensive transformation; Maximal subsemibands; Maximal subsemigroups; Rank; Transformation semigroup; SEMIGROUPS;

D O I：

10.1080/00927872.2011.557813

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A partial transformation alpha on an n-element chain X-n is called order-preserving if x <= y implies x alpha <= y alpha for all x, y in the domain of alpha and it is called extensive if x <= x alpha for all x in the domain of alpha. The set of all partial order-preserving extensive transformations on X-n forms a semiband POEn. We determine the maximal subsemigroups as well as the maximal subsemibands of POEn.

引用

页码：1821 / 1826

页数：6