CATEGORIES ENRICHED OVER A QUANTALOID: ALGEBRAS

被引:0
|
作者
Pu, Qiang [1 ]
Zhang, Dexue [1 ]
机构
[1] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
来源
基金
中国国家自然科学基金;
关键词
Quantaloid; Q-category; complete Q-category; completely distributive Q-category; Q-powerset; Eilenberg-Moore algebra; monadicity;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Given a small quantaloid Q with a set of objects Q(0), it is proved that complete skeletal Q-categories, completely distributive skeletal Q-categories, and Q-powersets of Q-typed sets are all monadic over the slice category of Set over Q(0).
引用
收藏
页码:751 / 774
页数:24
相关论文
共 50 条
  • [1] CATEGORIES ENRICHED OVER A QUANTALOID: ISBELL ADJUNCTIONS AND KAN ADJUNCTIONS
    Shen, Lili
    Zhang, Dexue
    THEORY AND APPLICATIONS OF CATEGORIES, 2013, 28 : 577 - 615
  • [2] IDEALS AND CONTINUITY FOR QUANTALOID-ENRICHED CATEGORIES
    Liu, Min
    Han, Shengwei
    Stubbe, Isar
    THEORY AND APPLICATIONS OF CATEGORIES, 2023, 39 (24):
  • [3] INJECTIVE SYMMETRIC QUANTALOID-ENRICHED CATEGORIES
    Shen, Lili
    Yang, Hang
    THEORY AND APPLICATIONS OF CATEGORIES, 2023, 39 (35):
  • [4] eAn introduction to quantaloid-enriched categories
    Stubbe, Isar
    FUZZY SETS AND SYSTEMS, 2014, 256 : 95 - 116
  • [5] SYMMETRY AND CAUCHY COMPLETION OF QUANTALOID-ENRICHED CATEGORIES
    Heymans, Hans
    Stubbe, Isar
    THEORY AND APPLICATIONS OF CATEGORIES, 2011, 25 : 276 - U426
  • [6] Exponentiable Functors Between Quantaloid-Enriched Categories
    Maria Manuel Clementino
    Dirk Hofmann
    Isar Stubbe
    Applied Categorical Structures, 2009, 17 : 91 - 101
  • [7] Exponentiable Functors Between Quantaloid-Enriched Categories
    Clementino, Maria Manuel
    Hofmann, Dirk
    Stubbe, Isar
    APPLIED CATEGORICAL STRUCTURES, 2009, 17 (01) : 91 - 101
  • [8] Categorical structures enriched in a quantaloid: Orders and ideals over a base quantaloid
    Stubbe, I
    APPLIED CATEGORICAL STRUCTURES, 2005, 13 (03) : 235 - 255
  • [9] Categorical Structures Enriched in a Quantaloid: Orders and Ideals over a Base Quantaloid
    Isar Stubbe
    Applied Categorical Structures, 2005, 13 : 235 - 255
  • [10] Closure Operators and Closure Systems on Quantaloid-Enriched Categories
    Min LIU
    Bin ZHAO
    数学研究及应用, 2013, 33 (01) : 23 - 34