Publications > Preprint server > Preprint Number 656
Preprint Number 656
656. Ralph McKenzie and Matthew Smedberg
Strong solvability and residual finiteness for finitely decidable varieties
Submission date: 12 November 2013.
If V is a finitely generated variety such that the first-order theory of the finite members of V is decidable, we show that V is residually finite, and in fact has a finite bound on the sizes of subdirectly irreducible algebras. This result generalizes known results which assumed that V has modular congruence lattices. Our proof of the theorem in its full generality proceeds by showing that strongly solvable radicals of algebras in V are strongly abelian.
Mathematics Subject Classification: 03D35, 08B26
Keywords and phrases:
|Last updated: November 22 2013 15:50||Please send your corrections to:|