机构:
BRANDON UNIV,DEPT MATH & COMP SCI,BRANDON P7A 6A9,MB,CANADABRANDON UNIV,DEPT MATH & COMP SCI,BRANDON P7A 6A9,MB,CANADA
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.
机构:
Lobachevsky State Univ Nizhni Novgorod, Arzamas Branch, Ul K Marksa 36, Arzamas 607220, Nizhni Novgorod, RussiaLobachevsky State Univ Nizhni Novgorod, Arzamas Branch, Ul K Marksa 36, Arzamas 607220, Nizhni Novgorod, Russia