free abelian group
free abelian group noun: a free module over the ring of integers.
Noun
free abelian group (plural free abelian groups)
- A free module over the ring of integers.
- A free abelian group of rank n is isomorphic to ℤ⊕ℤ⊕...⊕ℤ=⨁ⁿℤ, where the ring of integers ℤ occurs n times as the summand. The rank of a free abelian group is the cardinality of its basis. The basis of a free abelian group is a subset of it such that any element of it can be expressed as a finite...
Forms of free abelian group
| plural | free abelian groups |
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Questions about free abelian group
- What does free abelian group mean?
- Free abelian group means a free module over the ring of integers.
- What part of speech is free abelian group?
- Free abelian group is a noun.
- What is the plural of free abelian group?
- The plural of free abelian group is free abelian groups.
Words near free abelian group in the dictionary
Source and license
Adapted from Wiktionary: free abelian group (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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