Primitive ideals and Jacobson's structure spaces of noncommutative semigroups

TL;DR

This paper introduces the concept of primitive ideals in noncommutative semigroups and explores their topological structure spaces, providing new insights into their algebraic and topological properties.

Contribution

It defines primitive ideals for noncommutative semigroups and analyzes the topological structure of their associated Jacobson spaces, a novel approach in this area.

Findings

Characterization of primitive ideals in noncommutative semigroups

Topological properties of the structure spaces

Insights into Jacobson's structure spaces for these semigroups

Abstract

The purpose of this note is to introduce primitive ideals of noncommutative semigroups and study some topological aspects of the corresponding structure spaces.