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Oct 27, 2011 at 15:27 comment added Anatoly Kochubei Almost everything known about linear equations over general skew fields can be found in the book by P. M. Cohn, "Skew Fields", Cambridge University Press, 1995.
Oct 27, 2011 at 14:18 comment added Felipe Voloch If your skew field is a finite dimensional algebra over a commutative field (as e.g. the quaternions) then using a basis will quickly reduce your question to standard linear algebra.
Oct 27, 2011 at 14:06 history asked Edinah CC BY-SA 3.0