Order, lattices, ordered algebraic structures Chains, antichains, dimension Concept
Chain
Summary
A chain in a partially ordered set is a subset in which any two elements are comparable.
Where this leads
11 pages build on this one.
Further reading
About this page
| Tag | 0S8FE7ZMFM |
|---|---|
| URI | m2://0S8FE7ZMFM |
| Aliases | totally-ordered-subset |
| Kind | concept |
| Writing | W0 stub |
| MSC | 06A06 |
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What this page needs for W1
- an inventory row: the row of the inventory that the node accounts for (0 of 1)
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What links here
Definitions
Special cases
Used by
- Continuous geometry
- Mirsky's theorem
- Order complex
- Bourbaki–Witt theorem
- Dilworth's theorem
- Jordan–Dedekind chain condition
- Catenary ring
- Nest algebra
- Krull dimension of a poset
- Abian–Brown theorem
- Height of a poset