Submission date: 30 September 2014.

Abstract:

We give an exposition of results of Baldwin-Shelah on saturated free algebras, at the level of generality of complete first order theories T with a saturated model M which is in the algebraic closure of an indiscernible set. We then make some new observations when M is a saturated free algebra, analogous to (more difficult) results for the free group, such as a description of forking.

Mathematics Subject Classification:

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Full text arXiv 1409.8604: pdf, ps.