Which one of the following is incorrect? (a) If a ring has a unity, it is unique. (b) If a ring element has a multiplicative inverse, it is unique. (c) The ring {0,2, 4, 6, 8} under addition and multiplication modulo 10 has a unity. (d) Every integral domain is a field.

Which one of the following is incorrect? (a) If a ring has a unity, it is unique. (b) If a ring element has a multiplicative inverse, it is unique. (c) The ring {0,2, 4, 6, 8} under addition and multiplication modulo 10 has a unity. (d) Every integral domain is a field.

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Description: Which answer is correct? Which one of the following is incorrect?(a) If a ring has a unity, it is unique.(b) If a ring element has a multiplicative inverse, it is unique.(c) The ring {0,2, 4, 6, 8} under addition and multiplication modulo 10has a uni

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.1: Definition Of A Ring

Problem 11E: Assume R is a ring with unity e. Prove Theorem 5.8: If aR has a multiplicative inverse, the...

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