poset

名词 n.
中文释义

英文释义

名词 n.
  1. 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.

词形变化

posets plural

词源

Abbreviation of partially ordered set. Coined by American mathematician Garrett Birkhoff in his Lattice Theory.
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