We characterize the stable theories T for which the saturated models of T admit decompositions. In particular, we show that countable, shallow, stable theories with NDOP have this property.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm191-2-1, author = {M. C. Laskowski and S. Shelah}, title = {Decompositions of saturated models of stable theories}, journal = {Fundamenta Mathematicae}, volume = {189}, year = {2006}, pages = {95-124}, zbl = {1113.03031}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm191-2-1} }
M. C. Laskowski; S. Shelah. Decompositions of saturated models of stable theories. Fundamenta Mathematicae, Tome 189 (2006) pp. 95-124. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm191-2-1/