I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2008, VOLUME 14, NUMBER 7, PAGES 63-110
Model-theoretic properties of free, projective, and flat
A. V. Mikhalev
E. A. Palyutin
A. A. Stepanova
View as HTML
View as gif image
This is the second in a series of articles surveying the body of
work on the model theory of -acts over
a monoid .
The first concentrated on the theory of regular -acts.
Here we review the material on model-theoretic properties of free,
projective, and (strongly, weakly) flat -acts.
We consider questions of axiomatizability, completeness, model
completeness, and stability for these classes.
Most but not all of the results have already appeared; we remark that
the description of those monoids such that the class of
free left -acts is axiomatizable, is
Last modified: June 25, 2009