A Minster is a Church that has priest(s) that administer to and visit the parishioners. It is open to the public for worship. A Cathedral is a Church in which the throne of an Archbishop is located. An Abbey was originally a Church that was used exclusively by monks. It was not open to the public for worship. More @Wikipedia
Hover over any link to get a description of the article. Please note that search keywords are sometimes hidden within the full article and don't appear in the description or title.