The Elementary Classes of Direct and Boolean Products

Mathematical Logic Quarterly 40 (2):191-203 (1994)
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Abstract

We characterize the elementary classes generated from a distinguished subclass closing by taking direct products and elementary equivalence. In the second part we give the same characterization in terms of atomic Boolean products. In the last part, we study the cases when the class of Boolean products is elementary but is not given by a discriminator

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10.1002/malq.19940400206

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Citations of this work

Boolean products of real closed valuation rings and fields.Jorge I. Guier - 2001 - Annals of Pure and Applied Logic 112 (2-3):119-150.

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Mathematical logic.Heinz-Dieter Ebbinghaus - 1996 - New York: Springer. Edited by Jörg Flum & Wolfgang Thomas.
Algebras, Lattices, Varieties.Ralph N. Mckenzie, George F. Mcnulty & Walter F. Taylor - 1992 - Journal of Symbolic Logic 57 (1):266-268.

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