Categorial is an adjective that is commonly used to describe things that are related to categories, classifications, or divisions. Some synonyms for categorial include categorical, classificatory, divisional, and organizational. Other related terms include systematic, taxonomic, typological, and structural. Depending on the context, any of these words could be used as a suitable substitute for the word categorial. For example, if you were describing a system for organizing data, you might use the term organizational or systematic instead. Similarly, if you were discussing the classification of animals, you might opt for taxonomic or typological instead of categorial.