The subring E[F] generated by E and F is a vector space over Kin the obvious way.
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The subring E[F] generated by E and F is a vector space over Kin the obvious way. The tensor product E ⊗K F is also a K-vector space . E and F are linearly disjoint over K if and only if the K-linear transformation E⊗K F → E[F] (given on generators of E⊗K F by a ⊗ b |→ ab) is an isomorphism.
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ANSWER In abstract algebra and linear algebra given two rings E and F one can form a new ring called ...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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