poset
See also: pośet
English
Etymology
Abbreviation of partially ordered set.
Noun
poset (plural posets)
- (set theory) A partially ordered set.
- 1973, Barbara L. Osofsky, Homological Dimensions of Modules, American Mathematical Society, →ISBN, page 76,
- 42. Definition. A poset (partially ordered set) (X, ≤) (usually written just X) is a set X together with a transitive, antisymmetric relation ≤ on X.
- 43. Definition. A linearly ordered set or chain is a poset (X, ≤), such that ∀a, b ∈ X, either a ≤ b or b ≤ a or a = b.
- 1973, Barbara L. Osofsky, Homological Dimensions of Modules, American Mathematical Society, →ISBN, page 76,
Synonyms
- See also Thesaurus:partially ordered set
Anagrams
Serbo-Croatian
Alternative forms
Pronunciation
- IPA(key): /pôset/
- Hyphenation: po‧set
Noun
pȍset m (Cyrillic spelling по̏сет)
Declension
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