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B Suppose (G, *) is group of order > 1. Which statement best describes problem? Cannot have zero, and any idempotent must be an identity. Can have more than one idempotent. Can have a zero. Can have an idempotent different from the identity. An idempotent must be a zero.

B Suppose (G, *) is group of order > 1. Which statement best describes problem? Cannot have zero, and any idempotent must be an identity. Can have more than one idempotent. Can have a zero. Can have an idempotent different from the identity. An idempotent must be a zero.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.8: Some Results On Finite Abelian Groups (optional)
Problem 14E: Suppose that the abelian group G can be written as the direct sum G=C22C3C3, where Cn is a cyclic...
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Suppose (G, *) is group of order > 1. Which statement best describes problem? Cannot have zero, and any idempotent must be an identity. Can have more than one idempotent. Can have a zero. Can have an idempotent different from the identity. An idempotent must be a zero.
Transcribed Image Text:Suppose (G, *) is group of order > 1. Which statement best describes problem? Cannot have zero, and any idempotent must be an identity. Can have more than one idempotent. Can have a zero. Can have an idempotent different from the identity. An idempotent must be a zero.
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