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Lax Extensions of Conical I-Semifilter Monads

Authors :
Gao Zhang
Shao-Qun Zhang
Source :
Axioms, Vol 12, Iss 11, p 1034 (2023)
Publication Year :
2023
Publisher :
MDPI AG, 2023.

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.

Details

Language :
English
ISSN :
20751680
Volume :
12
Issue :
11
Database :
Directory of Open Access Journals
Journal :
Axioms
Publication Type :
Academic Journal
Accession number :
edsdoj.72ce6e353fd84bc69e03006c6656abbd
Document Type :
article
Full Text :
https://doi.org/10.3390/axioms12111034