Transitivity

Template:Sister project Transitivity or transitive may refer to:

Grammar

• Transitivity (grammar), a property regarding whether a lexical item denotes a transitive object
• Transitive verb, a verb which takes an object
• Transitive case, a grammatical case to mark arguments of a transitive verb

Logic and mathematics

• Transitive group action
• Transitive relation, a binary relation in which if A is related to B and B is related to C, then A is related to C
• Syllogism, a related notion in propositional logic
• Intransitivity, properties of binary relations in mathematics
• Arc-transitive graph, a graph whose automorphism group acts transitively upon ordered pairs of adjacent vertices
• Edge-transitive graph, a graph whose automorphism group acts transitively upon its edges
• Vertex-transitive graph, a graph whose automorphism group acts transitively upon its vertices
• Transitive set a set A such that whenever x ∈ A, and y ∈ x, then y ∈ A
• Topological transitivity property of a continuous map for which every open subset U' of the phase space intersects every other open subset V, when going along trajectory

Other

• Transitive Corporation, a computer software firm that developed QuickTransit cross-platform virtualization
• Transitive dependency, a functional dependency of database management which holds by virtue of transitive relation

See also

• Intransitive (disambiguation)