Order, lattices, ordered algebraic structures Well-orders, well-founded orders, well-quasi-orders Concept
Successor order
Summary
A successor order is a partial order with a successor map. This map sends each non-maximal element to the least element strictly above it. It abstracts the successor function on the natural numbers. The natural numbers, the integers, and every well-ordered set carry a successor order, while the rationals do not.
Further reading
About this page
| Tag | NT44831EFE |
|---|---|
| URI | m2://NT44831EFE |
| Kind | concept |
| Writing | W0 stub |
| MSC | 06A06, 06A05 |
| Changed | 2 November 2026 |
Markdown · JSON · Edit on GitHub
What this page needs for W1
- an inventory row: the row of the inventory that the node accounts for (0 of 1)
- a source with a locator (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.