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MMLU / Statement 1 | There exists a free abelian group of every positive integer rank.…

Problem

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question

Statement 1 | There exists a free abelian group of every positive integer rank. Statement 2 | A finitely generated abelian group is free abelian if its Betti number equals the number of elements in some generating set.

choices

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

subject

abstract_algebra

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task_id: ceeec11f-f832-5ea3-af4b-392e2cc2d4d4
task_key: all--test--ceeec11f-f832-5ea3-af4b-392e2cc2d4d4
task_revision_id: 1
config / split: all / test

Official source

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