On factorizations of limited solubly ω-saturated formations

• Published in: Algebra and Discrete Mathematics
• Date: 2012
• Main Author: Selkin, V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152211
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On factorizations of limited solubly ω-saturated formations / V. Selkin // Algebra and Discrete Mathematics. — 2012. — Vol. 13, № 2. — С. 289–298. — Бібліогр.: 11 назв. — англ.

If F = F₁…Ft is the product of the formations F₁,…,Ft and F ≠ F₁…Fi−₁Fi+₁…Ft for all i = 1,…,t, then we call this product a non-cancellative factorization of the formation F. In this paper we gives a description of factorizable limited solubly ω-saturated formations.