# Rings of Dyadic range 1

## TL;DR

This paper establishes a characterization of elementary divisor rings among commutative Bezout rings through the novel concept of ring diadic range 1, providing a new criterion for their classification.

## Contribution

Introduces the concept of ring diadic range 1 and proves its equivalence to elementary divisor rings within commutative Bezout rings.

## Key findings

- A commutative Bezout ring is an elementary divisor ring if and only if it has ring diadic range 1.
- The paper provides a new criterion for identifying elementary divisor rings.
- The concept of ring diadic range 1 is central to the characterization.

## Abstract

Using the concept of ring diadic range 1 we proved that a commutative Bezout ring is an elementary divisor ring iff it is a ring diadic range 1.