Linear extension: Difference between revisions

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this page probably needs more examples
since lex can be defined for posets that aren't linear...
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In [[order theory]], a branch of mathematics, a '''linear extension''' of a [[partial order]] is a linear order (or [[total order]]) that is compatible with the partial order. As a classic example, the [[lexicographic order]] of totally ordered sets is a linear extension of thetheir [[product order]].
 
==Definitions==