Math 2.0

Order, lattices, ordered algebraic structures Well-orders, well-founded orders, well-quasi-orders Concept

Ascending chain condition

Summary

A partially ordered set satisfies the ascending chain condition when every increasing sequence of its elements is eventually constant. The definition of the ascending chain condition states this precisely.

Where this leads

2 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Ascending_chain_condition, lead section
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