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.
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页数：16
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