Last updated 2 years ago
Was this helpful?
代數 ⟩ 環 ⟩ skew field
具有:
乘法單位元素: 1a=a1=a\mathbf{1} a=a\mathbf{1}=a1a=a1=a
乘法反元素: aa−1=a−1a=1a a^{-1} = a^{-1} a = 1aa−1=a−1a=1
的環 (ring),稱為「skew field」,四元數 H\mathbb{H}H 為其代表。
skew field 沒有「乘法交換律」❗️
四元數 ℍ
Contemporary Abstract Algebra (2017), Ch. 12 Rings, p.228.