Math 2.0

Order, lattices, ordered algebraic structures Constructions of ordered sets Concept

Ordinal sum of posets

Summary

The ordinal sum of two partially ordered sets places the second one entirely above the first. Inside each part the order is unchanged, and every element of the first part is below every element of the second. It is also called the linear sum or series composition, and it extends the addition of ordinal numbers.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Partially_ordered_set
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