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Definition 2024


poset

poset

See also: pośet

English

Noun

poset (plural posets)

  1. (set theory) A partially ordered set.
    • 1973, Barbara L. Osofsky, Homological Dimensions of Modules, American Mathematical Society, ISBN 0821816624, 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, bX, either ab or ba or a = b.

Synonyms

  • See also Wikisaurus:partially ordered set

Anagrams


Serbo-Croatian

Alternative forms

Pronunciation

  • IPA(key): /pôset/
  • Hyphenation: po‧set

Noun

pȍset m (Cyrillic spelling по̏сет)

  1. visit

Declension