Let R be the set of all 2 X 2 matrices over the complex field C of

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Let R be the set of all 2 X 2 matrices over the complex field C of the form

where z̅,w̅ are the complex conjugates of z and w respectively (that is, Then Risa division ring that is isomorphic to the division ring K of real quaternions.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Let R be the set of all 2 X 2 matrices over the complex field C of

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(- N - W W IN

Step by Step Answer:

We define a map f R K by f abi cdi cdi abi a bi cj dk where i j k are the usual quaternion units and ...View the full answer

Algebra Graduate Texts In Mathematics 73

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