Let D be a global domain whose quotient field F does not have characteristic 2, let U be a quaternion algebra over F, and let D be an order on U over D. A right D-module M which is simultaneously a ...
IN this book the author establishes the principles of quaternions by the use of the six operations—addition, subtraction, multiplication, division, reversion, and mean reversion. By the introduction ...
Irish physicist, astronomer, and mathematician Sir William Rowan Hamilton introduced quaternions, a non-commutative extension of complex numbers, on October 16, 1843. Benjamin Olinde Rodrigues had ...
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