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On Solvable Congruences in Finitely Decidable Varieties

✍ Scribed by Matthew A. Valeriote

Publisher: John Wiley and Sons
Year: 1994
Tongue: English
Weight: 993 KB
Volume: 40
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.19940400309

No coin nor oath required. For personal study only.

✦ Synopsis

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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The expression q n(n&1)Â4 should be replaced with the expression q (n+2)(n&1)Â4 in the first displayed equation in the statement of Theorem 1.2 (page 427), as well as in the first displayed equation in the statement of Proposition 3.2.1 (page 445) and in the displayed equation at the bottom of page