English
Etymology
Abbreviation of partially ordered set.
Noun
en-noun
- 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.
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