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Keywords = Kleisli extension

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16 pages, 369 KiB  
Article
Lax Extensions of Conical I-Semifilter Monads
by Gao Zhang and Shao-Qun Zhang
Axioms 2023, 12(11), 1034; https://doi.org/10.3390/axioms12111034 - 5 Nov 2023
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Abstract
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 [...] Read more.
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. Full article
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