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

• Date: 2018
• Main Author: Selkin, Vadim M.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: factorizations; solubly \(\omega\)-saturated formation; composition \(\omega\)-satelitte; one-generated formation; 20D10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/705
• Journal Title: Algebra and Discrete Mathematics

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{...