If A and B are unitary K-modules [resp. K-algebras], then there is an isomorphism of K-modules [resp.

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If A and B are unitary K-modules [resp. K-algebras], then there is an isomorphism of K-modules [resp. K-algebras] α : A ⊗_K B → B ⊗_K A such that α(a⊗b) = b⊗a for all a ϵ A,b ϵ B.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 15, 2023 03:04 AM

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If A and B are unitary K-modules [resp. K-algebras], then there is an isomorphism of K-modules [resp.

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The statement you provided is known as the commutativity of tensor product of modules or algebras ov...View the full answer

Algebra Graduate Texts In Mathematics 73

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