Algebraic representation of finite-complete L-ordered sets by monad

Choosing quantales as lattice-valued environment, we introduce a monad S by finite L-subsets and then construct the corresponding adjoint functors. Moreover, we prove that the monad S is a submonad of L-semifilter monad. Finally, we investigate L-closure operators and finite-complete L-ordered sets by S.

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Publication Details

Journal
Hacettepe Journal of Mathematics and Statistics
Published
2025-12-30
DOI
https://doi.org/10.15672/hujms.1635468
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Algebraic representation of finite-complete L-ordered sets by monad

Xiaowei Wei
Hacettepe Journal of Mathematics and Statistics
Fuzzy and Soft Set Theory
article

Algebraic representation of finite-complete L-ordered sets by monad

Xiaowei Wei
article en

Abstract

Choosing quantales as lattice-valued environment, we introduce a monad S by finite L-subsets and then construct the corresponding adjoint functors. Moreover, we prove that the monad S is a submonad of L-semifilter monad. Finally, we investigate L-closure operators and finite-complete L-ordered sets by S.

Hacettepe Journal of Mathematics and Statistics(Advanced Online Publication)
Tianjin University of Technology (CN)
Tianjin University of Technology, National Natural Science Foundation of China, Tianjin University, Fundamental Research Funds for the Central Universities
Openalex Percentile: Top 27%
Fuzzy and Soft Set Theory
DOIOpen Access PDFOpenAlex
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