H.W.1. How to construct the elements of the field(Z2[x]/ (x++x+1), +, .) ?2. How to construct the elements of the field (Z3[x]/(x²+2x+1), +, .)

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1. How to construct the elements of the field (Zz[x]/ (x4+x+1), +, .) ? 2. How to construct the elements of the field (Z3[x]/ (x²+2x+1), +, .)

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.3: The Field Of Quotients Of An Integral Domain

Problem 16E: Prove that any field that contains an intergral domain D must contain a subfield isomorphic to the...

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H.W.
1. How to construct the elements of the field
(Z2[x]/ (x++x+1), +, .) ?
2. How to construct the elements of the field (Z3[x]/
(x²+2x+1), +, .)

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