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Abelian group vs mathematical group

mathematical group vs Abelian group

Abelian group and mathematical group both are nouns.

Word NounAdjectiveVerbAdverb
Abelian group Yes No No No
mathematical group Yes No No No
As nouns, mathematical group is a hypernym of Abelian group; that is, mathematical group is a word with a broader meaning than Abelian group:
  • Abelian group: a group that satisfies the commutative law
  • mathematical group: a set that is closed, associative, has an identity element and every element has an inverse
Other hypernyms of Abelian group include group.
Abelian group (noun) mathematical group (noun)
a group that satisfies the commutative law a set that is closed, associative, has an identity element and every element has an inverse
Difference between Abelian group and mathematical group

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