On factorizations of limited solubly \(\omega\)-saturated formations

Abstract

If \(\frak{F}=\frak{F}_1\ldots\frak{F}_t\) is the product of the formations \(\frak{F}_1,\ldots,\frak{F}_t\) and \(\frak{F}\ne\frak{F}_1\ldots\frak{F}_{i-1}\frak{F}_{i+1}\ldots\frak{F}_t\) for all \(i=1,\ldots,t\), then we call  this product a non-cancellative factorization of the formation \(\frak{F}\). In this paper we gives  a description of factorizable limited solubly \(\omega\)-saturated formations.