If A and B are left Artinian algebras over a field K, then A K B
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If A and B are left Artinian algebras over a field K, then A ⊗ K B need not be left Artinian. Let A be a division algebra with center K and maximal subfield B such that dimBA is infinite.
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To show that the tensor product of left Artinian algebras A and B denoted as A K B need not be left Artinian well consider a specific example where A ...View the full answer
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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