Poset
Origin
Abbreviation of partially ordered set.
Full definition of poset
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.