(a) The polynomial x I is a unit in the power series ring Z x , but is not a unit in Z x (b) x 2 3x 2 is irreducible in Z x , but not in Z x ...

a In the power series ring Zx every element has a unique representation as a power series with coeff ...

(a) The polynomial x + I is a unit in the power series ring Z[[x]], but is...

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(a) The polynomial x + I is a unit in the power series ring Z[[x]], but is not a unit in Z[x].

(b) x² + 3x + 2 is irreducible in Z[[x]], but not in Z[x].

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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 03:51 AM

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(a) The polynomial x + I is a unit in the power series ring Z[[x]], but is...

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Algebra Graduate Texts In Mathematics 73

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