Abundance of the ideals of the order-preserving and decreasing full transformation semigroup

被引：1
|
作者：
Yang, Jing [1 ]
Yang, Xiuliang [1 ]
机构：
[1] Hangzhou Normal Univ, Dept Math, Hangzhou 311121, Zhejiang, Peoples R China
来源：
SEMIGROUP FORUM | 2022年 / 104卷 / 02期
关键词：
The order-preserving and decreasing full transformation semigroup; Ideal; Principal ideal; Left abundant; Right abundant; Abundant; Regular; RANKS;
D O I：
10.1007/s00233-022-10255-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let C-n denote the order-preserving and decreasing full transformation semigroup on X-n = {1, 2, ... , n}. In this paper, first we describe each principal ideal of C-n. Second, we discuss left and right abundance of the principal ideals of C-n. Further, necessary and sufficient conditions for the principal ideals in C-n to be abundant and regular are given. Finally, we study abundance of the ideals in C-n.
引用
收藏
页码：480 / 493
页数：14
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