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Some remarks on type n lattice-ordered algebras and a question of Huijsmans
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Journal Article
Some remarks on type n lattice-ordered algebras and a question of Huijsmans
2024
Overview
In this paper, type
n
lattice-ordered algebras are introduced and a characterization is given for those of type 0 and type 1. Moreover we investigate the question: Let
A
be a lattice-ordered algebra with unit element
e
>
0
in which every positive element has an inverse. Under what conditions
A
is lattice and algebra isomorphic to
R
? We have shown that for certain algebras the question has a positive answer, generalizing thus a result of Scheffold. We also obtained a result similar to Edwards’ Theorem for normed lattice-ordered algebras.
Publisher
Springer International Publishing,Springer Nature B.V
Subject
