On τ-Closed Formations of n-Ary Group

• Date: 2001
• Main Authors: Al-Dababseh, Avni Faez, Аль-Дабабсех, Авни Файез
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4226
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove that if G is a nonsingle-element n-ary finite group that belongs to a τ-closed formation \(\mathfrak{F}\) , then \(G/{\text{soc(}}G{\text{)}} \in \Phi _\tau (\mathfrak{F})\) , where \(\Phi _\tau (\mathfrak{F})\) is the intersection of all maximal τ-closed subformations of the τ-cl...