# On some groupoids of small orders with Bol-Moufang type of identities

## TL;DR

This paper counts the number of small-order groupoids satisfying certain Bol-Moufang identities, contributing to the classification of algebraic structures with specific identity constraints.

## Contribution

It provides a enumeration of groupoids of order 3 that satisfy particular Bol-Moufang type identities, a novel classification effort.

## Key findings

- Number of such groupoids identified
- Classification of small-order groupoids with these identities
- Insights into algebraic structure constraints

## Abstract

We count number of groupoids of order 3 with some Bol-Moufang type identities.