Modules of Existentially Closed Algebras
Eklof, Paul C. ; Mez, Hans-Christian
J. Symbolic Logic, Tome 52 (1987) no. 1, p. 54-63 / Harvested from Project Euclid
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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.
Publié le : 1987-03-14
Classification:  
@article{1183742309,
     author = {Eklof, Paul C. and Mez, Hans-Christian},
     title = {Modules of Existentially Closed Algebras},
     journal = {J. Symbolic Logic},
     volume = {52},
     number = {1},
     year = {1987},
     pages = { 54-63},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183742309}
}

Eklof, Paul C.; Mez, Hans-Christian. Modules of Existentially Closed Algebras. J. Symbolic Logic, Tome 52 (1987) no. 1, pp.  54-63. http://gdmltest.u-ga.fr/item/1183742309/