RESEARCH ARTICLE

On factorizations of limited solubly $\omega$-saturated formations

Vadim M. Selkin

Department of Mathematics, Francisk Skorina Gomel State University, Sovetskya Str., 104, Gomel, 246019, Belarus

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.

Keywords: factorizations, solubly $\omega$-saturated formation, composition $\omega$-satelitte, one-generated formation.

MSC: 20D10

Received: 25.02.2012
Accepted: 25.02.2012

Language: English

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