Full does not imply strong, does it?

被引:0
|
作者
Brian A. Davey
Miroslav Haviar
Ross Willard
机构
[1] La Trobe University,Department of Mathematics
[2] Matej Bel University,Department of Mathematics
[3] University of Waterloo,Department of Pure Mathematics
来源
algebra universalis | 2005年 / 54卷
关键词
06D50; 08C05; 08C15; 18A40; 08A55; Natural duality; full duality; strong duality; distributive lattices;
D O I
暂无
中图分类号
学科分类号
摘要
We give a duality for the variety of bounded distributive lattices that is not full (and therefore not strong) although it is full but not strong at the finite level. While this does not give a complete solution to the “Full vs Strong” Problem, which dates back to the beginnings of natural duality theory in 1980, it does solve it at the finite level. One consequence of this result is that although there is a Duality Compactness Theorem, which says that if an alter ego of finite type yields a duality at the finite level then it yields a duality, there cannot be a corresponding Full Duality Compactness Theorem.
引用
收藏
页码:1 / 22
页数:21
相关论文
共 50 条
  • [21] Knowing does not imply understanding
    Helmrich, George
    MENOPAUSE-THE JOURNAL OF THE NORTH AMERICAN MENOPAUSE SOCIETY, 2014, 21 (04): : 328 - 329
  • [22] Does "Ought" Imply "Feasible"?
    Southwood, Nicholas
    PHILOSOPHY & PUBLIC AFFAIRS, 2016, 44 (01) : 7 - 45
  • [23] Does optimization imply rationality?
    Mongin, P
    SYNTHESE, 2000, 124 (01) : 73 - 111
  • [24] Does intelligence imply contradiction?
    Frosini, P.
    COGNITIVE SYSTEMS RESEARCH, 2009, 10 (04): : 297 - 315
  • [25] DOES CHANGE IMPLY BETTERNESS
    HESSELTINE, HC
    JAMA-JOURNAL OF THE AMERICAN MEDICAL ASSOCIATION, 1961, 177 (13): : 899 - &
  • [26] Does a Strong El Niño Imply a Higher Predictability of Extreme Drought?
    Shanshan Wang
    Xing Yuan
    Yaohui Li
    Scientific Reports, 7
  • [27] Parameterfree Comprehension Does Not Imply Full Comprehension in Second Order Peano Arithmetic
    Kanovei, Vladimir
    Lyubetsky, Vassily
    STUDIA LOGICA, 2024, 113 (1) : 109 - 124
  • [28] DOES EXPERIENCE IMPLY LEARNING?
    Anand, Jaideep
    Mulotte, Louis
    Ren, Charlotte R.
    STRATEGIC MANAGEMENT JOURNAL, 2016, 37 (07) : 1395 - 1412
  • [29] Ought does not imply can
    Saka, P
    AMERICAN PHILOSOPHICAL QUARTERLY, 2000, 37 (02) : 93 - 105
  • [30] Correlation does not imply causation
    Dogan, M.
    Kucuk, H. Olgun
    Un, H.
    Bicakci, B.
    EUROPEAN REVIEW FOR MEDICAL AND PHARMACOLOGICAL SCIENCES, 2015, 19 (13) : 2326 - 2326