Mathematical Logic Quarterly

On Solvable Congruences in Finitely Decidable Varieties

Journal Article

Abstract

In this paper we establish the (1, 2)‐ and (2, 1)‐transfer principles for finitely decidable locally finite varieties, where a class of structures is finitely decidable if the first order theory of its finite members is recursive. The transfer principles deal with the local structure of finite algebras and have strong global consequences.

Mathematics Subject Classification: 08A05, 03C13, 08B05, 08B10.

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