The Structure of Semiconic Idempotent Commutative Residuated Lattices

Author:

Chen Wei1

Affiliation:

1. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China

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.

Funder

NSF of China

NSF of Fujian Province

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference27 articles.

1. On semiconic idempotent commutative residuated lattices;Chen;Algebra Universalis,2020

2. Variety generated by conical residuated lattice-ordered idempotent monoids;Chen;Semigroup Forum,2019

3. Irreducible residuated semilattices and finitely based varieties;Galatos;Rep. Math. Log.,2008

4. Semiconic idempotent residuated structures;Hsieh;Algebra Universalis,2009

5. Residuated Lattices;Ward;Trans. Am. Math. Soc.,1939

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