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It The answer to the problem is well known( http://www.math.uni-kiel.de/geometrie/klein/math/geometry/moufang.html ) that ; since : all the PTRs coordinatizing a given projective plane are isomorphic iff it is a moufang plane iff all these PTRS are isomorphic alternative division rings. The answer to the problem is well known. http://www.math.uni-kiel.de/geometrie/klein/math/geometry/moufang.html However the problem to give a purely algebraic proof of this result seem to be an open problem. |
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It is well known ( http://www.math.uni-kiel.de/geometrie/klein/math/geometry/moufang.html ) that all the PTRs coordinatizing a projective plane are isomorphic iff it is a moufang plane iff all these PTRS are isomorphic alternative division rings. The answer to the problem is well known. However the problem to give a purely algebraic proof of this result seem to be an open problem. |
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