# A Note on Noncommutative Even Square Rings

## TL;DR

This paper determines the smallest size of a noncommutative even square ring, showing it is a nil ring with characteristic four, primarily using illustrative examples.

## Contribution

It identifies the minimal order of noncommutative even square rings and characterizes their algebraic properties, such as being nil rings with characteristic four.

## Key findings

- Least order of noncommutative even square rings identified
- Such rings are nil rings with characteristic four
- Main proof relies on specific examples

## Abstract

In this note we find the least order of a noncommutative even square ring and we note that it is a nil ring having characteristic four. In order to prove the main result given in this note we mainly use suitable examples.

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Source: https://tomesphere.com/paper/1702.08202