decategorification

noun

The reverse process of categorification: The mapping of a category theoretic category to a set by using a systematic process in which isomorphic objects in a category are identified as equal.

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Meanings

noundecategorification (countable and uncountable, plural decategorifications)

plural decategorifications

  1. countableuncountablemathematicsThe reverse process of categorification: The mapping of a category theoretic category to a set by using a systematic process in which isomorphic objects in a category are identified as equal.

    For the n-levels systems approach we may associate categorification with increasing the level and decategorification with decreasing the level of complexity.

    2013, Octavian Iordache, Polytope Projects, →ISBN, page 6

Origin

From de- + categorification.

Full word history & related roots →
Cite this entry
APA

decategorification. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/decategorification

MLA

“decategorification.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/decategorification. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “decategorification,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/decategorification.

Source: decategorification on Wiktionary, CC BY-SA 4.0.