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Definitions poset 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 (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 (X, ≤), such that ∀a, b ∈ X, either a ≤ b or b ≤ a or a = b. Etymology: Abbreviation of partially ordered set. Supplemental Details:Sponsor an extended definition for poset for as little as $10 per month. Click here to contact us.        Find:   Words Starting With:   Words Ending With:   Words Containing:   Words That Match:    Translate Into:    Dutch   French   German    Italian   Spanish     Show 51015202550100250500 results per page. Browse the Dictionary A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

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