Let A be a one dimensional vector space over the rational field Q If we define ab 0 for all a,b A, then A is a Q algebra Every proper additive subgroup of A is an ideal of the ring A, but not an algebra ideal ...

Since A is a onedimensional vector space over Q it has a basis consisting of a single element say 1 ...

Let A be a one-dimensional vector space over the rational field Q. If we define ab =

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Let A be a one-dimensional vector space over the rational field Q. If we define ab = 0 for all a,b ϵ A, then A is a Q-algebra. Every proper additive subgroup of A is an ideal of the ring A, but not an algebra ideal.

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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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Let A be a one-dimensional vector space over the rational field Q. If we define ab =

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Algebra Graduate Texts In Mathematics 73

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