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The Structure of Semiconic Idempotent Commutative Residuated Lattices
Version 1
: Received: 4 September 2023 / Approved: 5 September 2023 / Online: 6 September 2023 (05:27:17 CEST)
A peer-reviewed article of this Preprint also exists.
Chen, W. The Structure of Semiconic Idempotent Commutative Residuated Lattices. Mathematics 2024, 12, 179. Chen, W. The Structure of Semiconic Idempotent Commutative Residuated Lattices. Mathematics 2024, 12, 179.
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 com-
mutative 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
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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