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MMLU / Statement 1 | A homomorphism is one to one if and only if the kernel consists of…

Problem

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question

Statement 1 | A homomorphism is one to one if and only if the kernel consists of the identity element alone. Statement 2 | The image of a group of 6 elements under some homomorphism may have 4 elements.

choices

True, True
False, False
True, False
False, True

subject

abstract_algebra

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task_id: 7effc911-7cb6-59ec-a3c3-445ac3484d44
task_key: all--test--7effc911-7cb6-59ec-a3c3-445ac3484d44
task_revision_id: 1
config / split: all / test

Official source

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