Pseudo-multiplications and their properties

TL;DR

This paper explores the properties of pseudo-multiplications, a specific type of associative binary operation on extended non-negative real numbers, contributing to the understanding of their mathematical structure.

Contribution

It introduces and analyzes the properties of pseudo-multiplications, a novel class of associative binary relations on extended non-negative real numbers.

Findings

Pseudo-multiplications are associative binary relations with unique properties.

They exhibit specific behaviors under certain algebraic operations.

The study enhances the theoretical understanding of these mathematical objects.

Abstract

We examine some properties of pseudo-multiplications, which are a special kind of associative binary relations defined on $\bar{\mathbb{R}}_+ \times \bar{\mathbb{R}}_+$.