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October 30th, 2016, 03:24 AM   #1
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From: Holand

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Question Quaternions

Find an element in M(H) that can not be written as LaRb for any a, b in H.
Here M(H) is multiplication algebra generated with LaiRbi i:0,...n
Ive tried to solve it but unfortunately i didnt make. If anyone knows something that could help me i would appreciate it.
La is multiplication on right hand side and Rb is multiplication on right hand side with a and b respectively.
Thanks

Last edited by Katnis; October 30th, 2016 at 04:10 AM.
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