What is another word for Abelian Group?

Pronunciation: [ˈe͡ɪbə͡lˌi͡ən ɡɹˈuːp] (IPA)

An Abelian group is a mathematical concept that represents a set of elements with an operation that satisfies the commutative law. Some synonyms for Abelian groups are commutative groups, additive groups, and cyclic groups. Commutative groups have operations that can be swapped without affecting the outcome, while additive groups follow the rules of addition. Cyclic groups are those that can be generated by a single element. Other related terms include finite Abelian groups, torsion-free Abelian groups, and abelianization. These terms are used to describe specific subsets of Abelian groups with special characteristics or properties. Overall, Abelian groups and their synonyms are fundamental concepts in algebraic structures and have a wide range of applications in various areas of mathematics.

Synonyms for Abelian group:

What are the hypernyms for Abelian group?

A hypernym is a word with a broad meaning that encompasses more specific words called hyponyms.

Related words: abelian group, abelian group of order three, order of the abelian group, abelian group of order six, order of the abelian group of order three, isabelle abelian group

Related questions:

  • What is the abelian group of order three?
  • What is the abelian group of order?
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