Equationally Noetherian group

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This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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A group is said to be equationally Noetherian if every system of equations over the group involving finitely many variables is equivalent to a finite subsystem.

Relation with other properties

Stronger properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
finite group



Journal references

Original use

Other uses