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SATURATED FREE ALGEBRAS REVISITED

Published online by Cambridge University Press:  15 September 2015

ANAND PILLAY  and
RIZOS SKLINOS
ANAND PILLAY
Affiliation:
UNIVERSITY OF NOTRE DAME IN 46556, USAE-mail: apillay@nd.edu
RIZOS SKLINOS
Affiliation:
UNIVERSITÉ LYON 1FRANCEE-mail: rizozs@gmail.com
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Abstract

We 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.

Keywords

03C0503C45free algebrasforking independence
Type
Articles
Information
Bulletin of Symbolic Logic , Volume 21 , Issue 3 , September 2015 , pp. 306 - 318
Copyright
Copyright © The Association for Symbolic Logic 2015 

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References

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