The default package available from the Debian repository is enable just for the MQTT protocol. These are the commands to install it.
sudo apt update
sudo apt install mosquitto
If you need to manage also the Websockets protocol (requested by Javascript program inside a web pages to publish/subscribe events) you have to create a new file called /etc/mosquitto/conf.d/websocket.conf with this content:
listener 1883
listener 1884
protocol websockets
Then restart Mosquitto:
service mosquitto restart
To test if Mosquitto is working on your board make a subscription to the broker to receive all messages:
mosquitto_sub -h localhost -t "#" -v
Then open another therminal session and send a messagge to the topic "test":
mosquitto_pub -h localhost -t "test" -m "Hello world!"
You will see the message received.