Let be a free Z-module with an infinite basis X. Then { x |x X} .nX

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Let be a free Z-module with an infinite basis X. Then {∫_x|x ϵ X} .nX (Theorem 4.11) does not form a basis of F*.

Data from theorem 4.11

(i) If fx1rl + fx2r2+ ... + fxnrn = 0 (ri e R; Xi eX), then for each j = 0, 1,2, ... , n,

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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 16, 2023 03:56 AM

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Let be a free Z-module with an infinite basis X. Then { x |x X} .nX

Question:

F - Σ Z Zx reX

Step by Step Answer:

xj fxjrj 0 ii If fx1rl fx2r2 fxnrn 0 ri e Z Xi e X then f 0 Based on the information provided it ...View the full answer

Algebra Graduate Texts In Mathematics 73

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