On a theorem of Malcev

Lallement, Gérard

doi:10.1090/S0002-9939-1971-0285646-8

On a theorem of Malcev
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Proc. Amer. Math. Soc. 30 (1971), 49-54 Request permission

Abstract:

For any pair of distinct elements a, b in a finitely generated abelian semigroup S, we indicate what are the homomorphisms $\phi$ of S onto a finite semigroup such that $\phi (a) \ne \phi (b)$. This improves a previous result of Malcev which states that the considered semigroups are residually finite.

References

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On homomorphisms onto finite groups

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