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 dim_BA is infinite.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Aug 03, 2023 08:25 AM

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If A and B are left Artinian algebras over a field K, then A K B

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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

Algebra Graduate Texts In Mathematics 73

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