Order (algebra) - Order Theory

Order Theory

• Order theory, which studies various binary relations known as orders
• Order (journal), an academic journal on order theory
• Partial order, often called just "order" in order theory texts; a transitive antisymmetric relation
• Total order, a partial order that is also total, in that either the relation or its inverse holds between any unequal elements
• Dense order, a total order where between any unequal pair of elements there is always an intervening element in the order
• Lexicographical order, an ordering method on sequences analogous to alphabetical order on words
• Order topology, a topology of total order for totally ordered sets
• Ordinal numbers, which are assigned to sets based on their set-theoretic order
• Glossary of order theory
• List of order theory topics