What is an algebraic structure?
Q: What is an algebraic structure?
A: An algebraic structure is a set with one, two or more binary operations on it.
Q: What are the basic algebraic structures with one binary operation?
A: The basic algebraic structures with one binary operation are Magma (mathematics), Semigroup, Monoid, Group and Commutative group.
Q: What are the basic algebraic structures with two binary operations?
A: The basic algebraic structures with two binary operations are Ring, Commutative ring and Field.
Q: What is a Magma (mathematics)?
A: A Magma (mathematics) is a set with a single binary operation.
Q: What is a Semigroup?
A: A Semigroup is a set with an associative operation.
Q: What does it mean for an operation to be commutative?
A: For an operation to be commutative means that the order of the elements in the equation does not affect the result of the equation; i.e., if you switch around the order of elements in an equation, you will still get the same result.
