Lax Extensions of Conical <mml:semantics>I</mml:semantics>-Semifilter Monads

被引：0
|
作者：
Zhang, Gao [1 ]
Zhang, Shao-Qun [2 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210046, Peoples R China
[2] Nanjing Univ, Sch Intelligence Sci & Technol, Suzhou 215163, Peoples R China
来源：
AXIOMS | 2023年 / 12卷 / 11期
关键词：
lax extension; conical |-semifilter monad; Kleisli extension; TOPOLOGY;
D O I：
10.3390/axioms12111034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a quantale I, the unit interval endowed with a continuous triangular norm, we introduce the canonical, op-canonical and Kleisli extensions of the conical I-semifilter monad to I-Rel. It is proved that the op-canonical extension coincides with the Kleisli extension.
引用
收藏
页数：16
相关论文
共 32 条
  • [11] Semantics of MML Query - Ordering
    Bancerek, Grzegorz
    [J]. FORMALIZED MATHEMATICS, 2013, 21 (01): : 41 - 46
  • [12] Explicit Parameterizations of Ortho-Symplectic Matrices in <mml:semantics>R</mml:semantics>4
    Mladenova, Clementina D.
    Mladenov, Ivailo M.
    [J]. MATHEMATICS, 2024, 12 (16)
  • [13] Evolution Equations with Liouville Derivative on <mml:semantics> R</mml:semantics> without Initial Conditions
    Fedorov, Vladimir E.
    Skripka, Nadezhda M.
    [J]. MATHEMATICS, 2024, 12 (04)
  • [14] On Best Approximations for Set-Valued Mappings in <mml:semantics>G</mml:semantics>-convex Spaces
    Mitrovic, Zoran D.
    Hussain, Azhar
    de la Sen, Manuel
    Radenovic, Stojan
    [J]. MATHEMATICS, 2020, 8 (03)
  • [15] Fixed-Point Theorems on Fuzzy Bipolar <mml:semantics>b</mml:semantics>-Metric Spaces
    Ramalingam, Balaji
    Ege, Ozgur
    Aloqaily, Ahmad
    Mlaiki, Nabil
    [J]. SYMMETRY-BASEL, 2023, 15 (10):
  • [16] Geometric Properties Connected with a Certain Multiplier Integral <mml:semantics>q</mml:semantics>-Analogue Operator
    Ali, Ekram E.
    Oros, Georgia Irina
    El-Ashwah, Rabha M.
    Kota, Wafaa Y.
    Albalahi, Abeer M.
    [J]. SYMMETRY-BASEL, 2024, 16 (07):
  • [17] Enriched <mml:semantics>Z</mml:semantics>-Contractions and Fixed-Point Results with Applications to IFS
    Alraddadi, Ibrahim
    Din, Muhammad
    Ishtiaq, Umar
    Akram, Mohammad
    Argyros, Ioannis K.
    [J]. AXIOMS, 2024, 13 (08)
  • [18] Spatial Heterogeneity of <mml:semantics>b</mml:semantics> Values in Northeastern Tibetan Plateau and Its Interpretation
    Hu, Nan
    Han, Peng
    Wang, Rui
    Shi, Fuqiang
    Chen, Lichun
    Li, Hongyi
    [J]. ENTROPY, 2024, 26 (03)
  • [19] Existence of Solutions to a System of Fractional <mml:semantics>q</mml:semantics>-Difference Boundary Value Problems
    Tudorache, Alexandru
    Luca, Rodica
    [J]. MATHEMATICS, 2024, 12 (09)
  • [20] Certain L2-Norms on Automorphic Representations of SL(2, <mml:semantics>R</mml:semantics>)
    He, Hongyu
    [J]. AXIOMS, 2024, 13 (02)
1234