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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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