Algebraic Structures

Here are examples of Algebraic Structures

Set Classification	Set	addition	multiplication	subtraction	division	exponentiation
Number Systems	ℕ Natural	ℕ	ℕ	ℤ	ℚ	ℕ
	ℤ Integers	ℤ	ℤ	ℤ	ℚ	ℚ
	ℚ Rational	ℚ	ℚ	ℚ	ℚ	ℂ
	ℝ Real	ℝ	ℝ	ℝ	ℝ	ℂ
	ℂ Complex	ℂ	ℂ with inital assumption that 𝑖² = -1	ℂ	ℂ	ℂ
	ℍ Quaternion	ℍ	ℍ	ℍ	ℍ	?
	ℝ² 2D Vectors	ℝ²	ℂ with initial assumption that 𝑣² = \|𝑣\|²	ℝ²	ℂ	?
	ℝ³ 3D Vectors	ℝ³	ℍ with initial assumption that 𝑣² = \|𝑣\|²	ℝ³	ℍ	?
	Matrices
	TODO

／var／log marcus chiu