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Saturated free algebras revisited

2014/09/30 by Anand Pillay, Pillay, Anand, Rizos Sklinos +1
Mathematics · #FOS: Mathematics #Logic (math.LO) #math.LO

paper · pdf · doi:10.48550/arxiv.1409.8604

16 pages

arxiv created 2014/09/30 · arxiv updated 2014/10/01

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.

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