Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.