$ P $-Stability of Some Classes of $ S $-Acts
E. N. Stepanova, A. I. Krasitskaya · Siberian Mathematical Journal · 2021
The notion of $ P $ -stability is a particular case of the generalized stability of complete theories. This paper discusses some problems that are related to the $ P $ -stability of certain classes of $ S $ -acts. In particular, we describe the monoids $ S $ over which the classes of free, projective, strongly flat, divisible, regular $ S $ -acts are $ P $ -stable.