P-stable Abelian groups
(P, a)-stable and (P, s)-stable Abelian groups are described. It is also proved that every Abelian group is (P,p)-stable. In particular, results due to M. A. Rusaleev [Algebra Logika, 50, No. 2, 231-245 (2011)] and T. A. Nurma-gambetov [Proc. 11th Conf. Math. Logic, Kazan State Univ., Kazan (1992), p. 106] derive from these.