Let R be a commutative ring with identity and Then /is a 1=0 unit in R[x] if

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Let R be a commutative ring with identity and

Then /is a 1=0 unit in R[x] if and only if a_o is a unit in Rand a₁, ... , a_n are nilpotent elements of R

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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 R be a commutative ring with identity and Then /is a 1=0 unit in R[x] if

Question:

η f=Σ Σ aix* e R[x]. 1=0

Step by Step Answer:

The statement is true First suppose that f is a unit in Rx Then there exists g k0m bk xk such that f...View the full answer

Algebra Graduate Texts In Mathematics 73

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