English

A partially ordered set with divisibility relation

Noun

partial order ‎(plural partial orders)

1. (set theory) A relation that is reflexive, antisymmetric, and transitive.

Synonyms

• partial ordering relation

Hypernyms

• preorder

Hyponyms

• total order
  • well-order

Related terms

• order
• partially ordered set

Translations

References

• B. Dushnik and E. W. Miller, Partially Ordered Sets, Amer. J. Math. 63 (1941), 600-610.