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Definition 2024


partially_ordered_set

partially ordered set

English

A partially ordered set with divisibility relation

Noun

partially ordered set (plural partially ordered sets)

  1. (set theory) A set having a specified partial order.
  2. (set theory) Said set together with said partial order; the ordered pair of said set and said partial order.

Usage notes

  • The two senses are commonly used interchangeably, there rarely being a need to distinguish between the two entities.

Synonyms

  • poset
  • See also Wikisaurus:partially ordered set

Hyponyms

Translations