hypercomplex number
element of a unital algebra over the field of real numbers
hyperbolic quaternion
unital nonassociative algebra over the real numbers generated by generators 𝑖, 𝑗, 𝑘 that mutually anticommute and each square to +1
quaternion
noncommutative extension of the real numbers
Si yuan shu
Chinese quaternion invented by Zhu Shijie (Yuan dynasty mathematician) in 1303
dual number
algebra over a field
Tian yuan shu
Chinese system of algebra developed in Jin dynasty (1248)
complex number
number that can be put in the form a + bi, where a and b are real numbers and i is called the imaginary unit