On the Tensor product of archimedean $d$-algebras

TL;DR

This paper proves that the Riesz tensor product of two archimedean $d$-algebras retains the $d$-algebra structure, extending the understanding of tensor products in ordered algebraic systems.

Contribution

It establishes that the Riesz tensor product of two archimedean $d$-algebras is itself a $d$-algebra, a new structural result in ordered algebra.

Findings

Riesz tensor product of two archimedean $d$-algebras is a $d$-algebra

Extension of tensor product properties in ordered algebraic structures

New insights into the structure of $d$-algebras

Abstract

The aim of this work is to prove that the Riesz tensor product of two archimedean $d$-algebras is itself a $d$-algebra.