The Structure of Semiconic Idempotent Commutative Residuated Lattices

Wei Chen ()
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Wei Chen: School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China

Mathematics, 2024, vol. 12, issue 2, 1-16

Abstract: In this paper, we study semiconic idempotent commutative residuated lattices. After giving some properties of such residuated lattices, we obtain a structure theorem for semiconic idempotent commutative residuated lattices. As an application, we make use of the structure theorem to prove that the variety of strongly semiconic idempotent commutative residuated lattices has the amalgamation property.

Keywords: residuated lattices; idempotent semigroup; chain; construction; amalgamation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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