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s{a+bV2:a, b e Z } under addition and multiplication a ring? Justify. Is it a mmutative ring?

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 5E

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7. Is {a + bV2: a, b E Z } under addition and multiplication a ring? Justify. Is it a
commutative ring?

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