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Algebra and Discrete Mathematics, 2012, Volume 13, Issue 2, Pages 289–298
(Mi adm78)
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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.
Received: 25.02.2012 Accepted: 25.02.2012
Citation:
Vadim M. Selkin, “On factorizations of limited solubly $\omega$-saturated formations”, Algebra Discrete Math., 13:2 (2012), 289–298
Linking options:
https://www.mathnet.ru/eng/adm78 https://www.mathnet.ru/eng/adm/v13/i2/p289
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Abstract page: | 175 | Full-text PDF : | 86 | References: | 33 | First page: | 1 |
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