horizontal categorification

noun

The process by which an algebraic structure is first categorified, realising it as a one-object category with certain properties, and then categories with those properties (and any number of objects) are studied; also, the result of this process.

“The horizontal categorification of a group is a groupoid.”

Similar
oidification
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Meanings

nounhorizontal categorification (plural horizontal categorifications)

plural horizontal categorifications

  1. category theoryThe process by which an algebraic structure is first categorified, realising it as a one-object category with certain properties, and then categories with those properties (and any number of objects) are studied; also, the result of this process.

    The horizontal categorification of a group is a groupoid.

    Synonyms: oidification

Synonyms & antonyms

nounThe process by which an algebraic structure is first categorified, realising it as a one-object category with certain properties, and then categories with those properties (and any number of objects) are studied; also, the result of this process.

Similar
oidification
Cite this entry
APA

horizontal categorification. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/horizontal%20categorification

MLA

“horizontal categorification.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/horizontal%20categorification. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “horizontal categorification,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/horizontal%20categorification.

Source: horizontal categorification on Wiktionary, CC BY-SA 4.0.