CryptoMagician
Tue Aug 13 2024
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7 answers
1616
Is direct product abelian?
Could you please clarify your question regarding the direct product being abelian? Are you referring to the direct product of groups in abstract algebra? If so, the answer is not always straightforward. The direct product of two abelian groups is indeed abelian, as the operation on the product is defined component-wise and thus preserves the commutative property. However, the direct product of non-abelian groups may or may not be abelian, depending on the specific groups and their operations. Can you provide more context or specific examples to narrow down the scope of your inquiry?
