SFT-stability and Krull dimension in power series rings over an almost pseudo-valuation domain

Let (R) be an APVD with maximal ideal (M) . We show that the power series ring (R[[x_1,ldots ,x_n]]) is an SFT-ring if and only if the integral closure of (R) is an SFT-ring if and only if ( (R) is an SFT-ring and (M) is a Noether strongly primary ideal of ((M:M)) ). We deduce that if (R) is an (m) -dimensional APVD that is a residually *-domain, then dim (R[[x_1,ldots ,x_n]],=,nm+1) or (nm+n) .