Journal of Symbolic Logic

Modules of Existentially Closed Algebras

Paul C. Eklof and Hans-Christian Mez

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The underlying modules of existentially closed $\triangle$-algebras are studied. Among other things, it is proved that they are all elementarily equivalent, and that all of them are existentially closed as modules if and only if $\triangle$ is regular. It is also proved that every saturated module in the appropriate elementary equivalence class underlies an e.c. $\triangle$-algebra. Applications to some problems in module theory are given. A number of open questions are mentioned.

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J. Symbolic Logic, Volume 52, Issue 1 (1987), 54-63.

First available in Project Euclid: 6 July 2007

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Eklof, Paul C.; Mez, Hans-Christian. Modules of Existentially Closed Algebras. J. Symbolic Logic 52 (1987), no. 1, 54--63.

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