CORES AND RETRACTS

被引:5
作者
RODDY, MS [1 ]
机构
[1] BRANDON UNIV,DEPT MATH & COMP SCI,BRANDON P7A 6A9,MB,CANADA
来源
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 1994年 / 11卷 / 01期
关键词
ORDERED SET; RETRACT; CORE;
D O I
10.1007/BF01462224
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The retracts (idempotent, isotone self-maps) of an ordered set are naturally ordered as functions. In this note we characterize the possible ways that one retract can cover another one. This gives some insight into the structure of the ordered set of retracts and leads to a natural generalization of the core of an ordered set.
引用
收藏
页码:1 / 9
页数:9
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