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Setoid vs Poset - What's the difference?

setoid | poset |

In set theory|lang=en terms the difference between setoid and poset

is that setoid is (set theory) a set together with an equivalence relation while poset is (set theory) a partially ordered set.

As nouns the difference between setoid and poset

is that setoid is (set theory) a set together with an equivalence relation while poset is (set theory) a partially ordered set.

setoid

English

(wikipedia setoid)

Noun

(en noun)
  • (set theory) A set together with an equivalence relation.

    • 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

  • visit

    • Declension

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