About: Linear extension

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In order theory, a branch of mathematics, a linear extension of a partial order is a total order (or linear order) that is compatible with the partial order. As a classic example, the lexicographic order of totally ordered sets is a linear extension of their product order.

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  • In order theory, a branch of mathematics, a linear extension of a partial order is a total order (or linear order) that is compatible with the partial order. As a classic example, the lexicographic order of totally ordered sets is a linear extension of their product order. (en)
  • Dans la branche des mathématiques de la théorie des ordres, une extension linéaire d'un ordre partiel est un ordre total (ou ordre linéaire) qui est compatible avec l'ordre partiel. Un exemple classique est l'ordre lexicographique des ensembles totalement ordonnés qui est une extension linéaire de leur ordre produit. (fr)
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  • In order theory, a branch of mathematics, a linear extension of a partial order is a total order (or linear order) that is compatible with the partial order. As a classic example, the lexicographic order of totally ordered sets is a linear extension of their product order. (en)
  • Dans la branche des mathématiques de la théorie des ordres, une extension linéaire d'un ordre partiel est un ordre total (ou ordre linéaire) qui est compatible avec l'ordre partiel. Un exemple classique est l'ordre lexicographique des ensembles totalement ordonnés qui est une extension linéaire de leur ordre produit. (fr)
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  • Extension linéaire (fr)
  • Linear extension (en)
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