Lax Extensions of Conical I-Semifilter Monads

Author:

Zhang Gao1ORCID,Zhang Shao-Qun2ORCID

Affiliation:

1. School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, China

2. School of Intelligence Science and Technology, Nanjing University, Suzhou 215163, China

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 Kleisli extension.

Funder

Natural Science Foundation of China

Nanjing University start-up funding for talent research

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

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