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We consider structures which are FA-presentable. It is known that an FA-presentable finitely generated group is virtually abelian; we strengthen this result by showing that an arbitrary FA-presentable group is locally virtually abelian. As a consequence, we prove that any FA-presentable ring is locally finite; this is a significant restriction and allows us to say a great deal about the structure of FA-presentable rings. In particular, we show that any FA-presentable ring with identity and no zero divisors is finite.

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On the Representation of Compact Nilpotent Rings by Triangular Matrices

On the Representation of Compact Nilpotent Rings by Triangular Matrices

FA-presentable groups and rings

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