Residuated Structures Derived from Commutative Idempotent Semirings

Since the reduct of every residuated lattice is a semiring, we can ask under what condition a semiring can be converted into a residuated lattice. It turns out that this is possible if the semiring in question is commutative, idempotent, G-simple and equipped with an antitone involution. Then the re...

Full description

Bibliographic Details
Main Authors: Chajda Ivan, Länger Helmut
Format: Article
Language:English
Published: Sciendo 2019-06-01
Series:Discussiones Mathematicae - General Algebra and Applications
Subjects:
Online Access:https://doi.org/10.7151/dmgaa.1300