English

Saturated free algebras revisited

Logic 2014-10-01 v1

Abstract

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

Keywords

Cite

@article{arxiv.1409.8604,
  title  = {Saturated free algebras revisited},
  author = {Anand Pillay and Rizos Sklinos},
  journal= {arXiv preprint arXiv:1409.8604},
  year   = {2014}
}

Comments

16 pages

R2 v1 2026-06-22T06:09:40.622Z