Word Explorer

Ordered set

💡 Words with a Similar Meaning to "Ordered set"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
partially ordered setnoun(set theory, order theory, loosely) A set that has a given, elsewhere specified partial order.
posetnoun(set theory, order theory) A partially ordered set.
ordernoun(countable) A command.
totally ordered setnoun(set theory) A set having a specified total order.
partial ordering relationnoun(set theory) A partial order.
pomsetnoun(mathematics) Partial ordered multiset.
upper setnoun(mathematics, order theory) A subset of a poset which contains any ascending chain which starts at any element of itself.
tomsetnoun(mathematics) Totally ordered multiset.
chainnounA series of interconnected rings or links usually made of metal.
total ordernoun(set theory, order theory) A partial order, ≤, (a binary relation that is reflexive, antisymmetric, and transitive) on some set S, such that any two elements of S are comparable (for any x, y ∈ S, either x ≤ y or y ≤ x).
well-ordernoun(set theory, order theory) A total order of some set such that every nonempty subset contains a least element.
directed setnoun(algebra, set theory) A set equipped with a preorder such that for any two elements a and b there is an element c such that a ≤ c and b ≤ c.
relationnounThe manner in which two things may be associated.
algebraic posetnoun(algebra, order theory) A partially ordered set (poset) in which every element is the supremum of the compact elements below it.
filtrationnounThe act or process of filtering; the mechanical separation of a liquid from the undissolved particles floating in it.
subbosetnoun(mathematics) A subset of a biordered set.
complete latticenoun(algebra) A partially ordered set in which all subsets have both a supremum (join) and an infimum (meet).
lower setnoun(mathematics, order theory) A subset of a poset which contains any descending chain which starts at any element of itself.
subitemsetnoun(mathematics) A subset of an itemset
quasiordernoun(set theory) A preorder.

Translate “Ordered set” into Another Language

Pick a language — the word will be pre-filled in the translator.

Home/Dictionary/Ordered set