Definitions
poset Tweet Definition of poset Like Definition of poset on Facebook
noun 
  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 (partially ordered set) (X, â�¤) (usually written just X) is a set X together with a transitive, antisymmetric relation â�¤ on X.
    • :43. Definition. A linearly ordered set or chain is a (X, â�¤), such that â��a, b â�� X, either a â�¤ b or b â�¤ a or a = b.
Etymology: Abbreviation of partially ordered set.


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