SATURATED FREE ALGEBRAS REVISITED

Author:

PILLAY ANAND,SKLINOS RIZOS

Abstract

AbstractWe give an exposition of results of Baldwin–Shelah [2] 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference13 articles.

1. [7] Mariou B. , Modèles saturés et modèles engendrés par des indiscernables , this Journal, vol. 66 (2001), pp. 325–348.

2. The models of a non-multidimensional ω-stable theory;Pillay;Groupe d’étude de théories stables (1980–1982),1983

3. [8] Perin C. and Sklinos R. , Forking and JSJ decompositions in the Free Group . Journal of the European Mathematical Society (JEMS), to appear.

4. FORKING IN THE FREE GROUP

5. A survey of basic stability theory, with particular emphasis on orthogonality and regular types;Makkai;Israel Journal of Mathematics,1979

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