On a bi-lateral Adding Machine and its characterization

TL;DR

This paper introduces a bilateral adding machine constructed on a zip space with dual alphabets, establishing its homeomorphism properties and providing criteria for its characterization.

Contribution

It presents a novel bilateral adding machine model and offers a complete characterization with necessary and sufficient conditions.

Findings

The bilateral adding machine is a homeomorphism.

Necessary and sufficient conditions for characterization are provided.

The model extends existing adding machine frameworks.

Abstract

In this paper, we introduce a bilateral adding machine based on a zip space with two sets of alphabets. We demonstrate that these adding machines are homeomorphisms and provide necessary and sufficient conditions for their characterization.