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Closure Operators and Complete Embeddings of Residuated Lattices

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Abstract

In this paper, a theorem on the existence of complete embedding of partially ordered monoids into complete residuated lattices is shown. From this, many interesting results on residuated lattices and substructural logics follow, including various types of completeness theorems of substructural logics.

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Authors and Affiliations

  1. School of Information Science, Japan Advanced Institute of Science and Technology, 1-1 Asahidai, Tatsunokuchi, Ishikawa, 923-1292, Japan

    Hiroakira Ono

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  1. Hiroakira Ono
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Ono, H. Closure Operators and Complete Embeddings of Residuated Lattices. Studia Logica 74, 427–440 (2003). https://doi.org/10.1023/A:1025171301247

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  • DOI: https://doi.org/10.1023/A:1025171301247

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