• Poset

    Origin

    Abbreviation of partially ordered set.

    Full definition of poset

    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, b ∈ X, either a ≤ b or b ≤ a or a = b.

    Synonyms

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