Algebraic Systems -- Definitions and Theorems You Need To Know
- element of a set
- empty set
- well-defined set
- subset of a set
- improper subset
- Cartesian product of two sets
- power set of a set
- relation between two sets
- function
- domain, codomain, range of a function
- cardinality of a set
- one-to-one correspondence
- two sets have same cardinality
- one-to-one (injective) function
- onto (surjective) function
- disjoint
- partition of a set
- cell of a partition
- equivalence relation
- binary operation