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zero object

in category theory, an object that is both initial and terminal
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zero object

Summary

Key Facts

  • zero object is a type of initial object[1].
  • zero object is a type of terminal object[2].
  • zero object is a type of null[3].
  • zero object is part of initial and terminal objects[4].
  • zero object's different from is recorded as zero object[5].
  • zero object's different from is recorded as additive identity[6].
  • zero object's different from is recorded as trivial algebraic structure[7].

Body

Definition and Type

Recorded subclass of include initial object[1], terminal object[2], and null[3].

Use and Application

zero object is part of initial and terminal objects[4].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [1] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [4] ↑ . wikidata.org.
  5. [5] ↑ . wikidata.org.
  6. [6] ↑ . wikidata.org.
  7. [7] ↑ . wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). zero object. Retrieved October 3, 2026, from https://4ort.xyz/entity/zero-object-q91432807
MLA “zero object.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 Oct. 2026, https://4ort.xyz/entity/zero-object-q91432807.
BibTeX @misc{4ortxyz_zero-object-q91432807_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{zero object}}, year = {2026}, url = {https://4ort.xyz/entity/zero-object-q91432807}, note = {Accessed: 2026-10-03}}
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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 15w ago · HTinC23 · 2026-06-22 view diff on Wikidata ↗
    Wikidata description → in category theory, an object that is both initial and terminal
    Different from → zero object, additive identity, trivial algebraic structure
    Part of → initial and terminal objects
    Nlab id → zero object
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P14540]]: [[Q91432807]]"
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