partially ordered set

English

A partially ordered set with divisibility relation

Noun

partially ordered set (plural partially ordered sets)

(set theory) A set having a specified partial order.
(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 Thesaurus:partially ordered set

Hypernyms

category

Hyponyms

Translations

set having a specified partial order

Czech: uspořádaná množina f
Japanese: 半順序集合 (はんじゅんじょしゅうごう, hanjunjo-shūgō)

Swedish: partiellt ordnad mängd (sv) c

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