The characteristic of a ring with unity is zero orn>0 according as the unity element 1 regardedas a member of the additive group of the ringhas the order zero or n.|C

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Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.2: Integral Domains And Fields

Problem 23E: [Type here] 23. Let be a Boolean ring with unity. Prove that every element ofexceptandis a zero...

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The characteristic of a ring with unity is zero or n>0 according as the unity element 1 regarded as a member of the additive group of the ring has the order zero or n.