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Definition 2024
poset
poset
See also: pośet
English
Noun
poset (plural posets)
- (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, b ∈ X, either a ≤ b or b ≤ a or a = b.
- 1973, Barbara L. Osofsky, Homological Dimensions of Modules, American Mathematical Society, ISBN 0821816624, page 76,
Synonyms
- See also Wikisaurus:partially ordered set