Trigintaduonion

Trigintaduonions
Trigintaduonions
Symbol
Type	Hypercomplex algebra
Units	e0, ..., e31
Multiplicative identity	e0
Main properties	Power associativity; Distributivity;
Common systems
	Natural numbers; Integers; Rational numbers; Real numbers; Complex numbers; Quaternions; Less common systems Octonions; Sedenions; Trigintaduonions;

In abstract algebra, the trigintaduonions, also known as the 32-ions, 32-nions, 2⁵-nions form a 32-dimensional noncommutative and nonassociative algebra over the real numbers.

Trigintaduonions
Symbol	$\mathbb {T}$
Type	Hypercomplex algebra
Units	e₀, ..., e₃₁
Multiplicative identity	e₀
Main properties	Power associativity Distributivity
Common systems
$\mathbb {N}$ Natural numbers $\mathbb {Z}$ Integers $\mathbb {Q}$ Rational numbers $\mathbb {R}$ Real numbers $\mathbb {C}$ Complex numbers $\mathbb {H}$ Quaternions Less common systems $\mathbb {O}$ Octonions $\mathbb {S}$ Sedenions $\mathbb {T}$ Trigintaduonions