Abundance of the ideals of the monoid of all orientation-preserving extensive full transformations

被引：0

作者：

Zhao, Ping ^{[1
]}

机构：

[1] Chinese Acad Sci, R P China, Guiyang 550001, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2025年 / 24卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Extensive transformation; ideal; principal ideal; left abundant; right abundant; regular;

D O I：

10.1142/S0219498825502081

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let OP epsilon(n) be the monoid of all orientation-preserving and extensive full transformations on {1,... ,n}. In this paper, first we discuss left and right abundance of the principal ideals of OP epsilon(n). Second, we give necessary and sufficient conditions for the principal ideals of OP epsilon(n)to be abundant and regular. Finally, we study abundance of the ideals in OP epsilon(n).

引用

页数：13

共 16 条

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