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
相关论文
共 50 条
  • [1] Closed retracts and perfect retracts
    Michael, E
    TOPOLOGY AND ITS APPLICATIONS, 2002, 121 (03) : 451 - 468
  • [2] On Retracts, Absolute Retracts, and Folds in Cographs
    Kloks, Ton
    Wang, Yue-Li
    GRAPH-THEORETIC CONCEPTS IN COMPUTER SCIENCE, WG 2013, 2013, 8165 : 321 - 332
  • [3] Retracts of algebras
    Novotny, Miroslav
    FUNDAMENTA INFORMATICAE, 2007, 75 (1-4) : 375 - 384
  • [4] Domain representability of retracts
    Onal, Suleyman
    Vural, Cetin
    TOPOLOGY AND ITS APPLICATIONS, 2015, 194 : 1 - 3
  • [5] Lattices of retracts of direct products of two finite chains and notes on retracts of lattices
    Czedli, Gabor
    ALGEBRA UNIVERSALIS, 2022, 83 (03)
  • [6] Lattices of retracts of direct products of two finite chains and notes on retracts of lattices
    Gábor Czédli
    Algebra universalis, 2022, 83
  • [7] Lattice of retracts of monounary algebras
    Jakubikova-Studenovska, Danica
    Pocs, Jozef
    MATHEMATICA SLOVACA, 2011, 61 (01) : 107 - 125
  • [8] Cardinality of retracts of monounary algebras
    Jakubikova-Studenovska, Danica
    Pocs, Jozef
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2008, 58 (02) : 469 - 479
  • [9] On retracts determinating commutative trusses
    Andruszkiewicz, R. R.
    Pryszczepko, K.
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2023, 33 (03) : 499 - 508
  • [10] Retracts of Products of Chordal Graphs
    Bresar, Bostjan
    Chalopin, Jeremie
    Chepoi, Victor
    Kovse, Matjaz
    Labourel, Arnaud
    Vaxes, Yann
    JOURNAL OF GRAPH THEORY, 2013, 73 (02) : 161 - 180