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poset - What does it mean?

Definition of 'poset'

English

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 .

    Synonyms

    * See also

    Anagrams

    * * * * * * * ---- ==Serbo-Croatian==

    Alternative forms

    * (Ijekavian ): * (Montenegrin ):

    Noun

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  • Declension

    {{sh-decl-noun |poset|poseti |poseta|poseta |posetu|posetima |poset|posete |posete|poseti |posetu|posetima |posetom|posetima }}