# CT prerequisites

* Prerequisites to category theory
* Set theory
  * sets
  * relations
  * orders
  * functions
* Abstract algebra
  * mathematical object
  * mathematical structure
  * algebraic structure
  * algebra
  * Structures in abstract algebra
    * Group-like algebras
      * Magma
      * Semigroup
      * Monoid
      * Group
      * Abelian group
      * Rack and quandle
      * Quasigroup and loop
      * Lie group
      * Group theory
    * Ring-like algebras
    * Field-like algebras
  * Axioms in abstract algebra
    * closure, totality
    * associativity, associative binary operation
    * identity, unique neutral or identity element
    * invertability, inverse elements
    * commutativity
    * divisibility


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