2019
Том 71
№ 11

# Al-Dababseh Avni Faez

Articles: 1
Brief Communications (Russian)

### On τ-Closed Formations of n-Ary Group

Ukr. Mat. Zh. - 2001. - 53, № 1. - pp. 113-116

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-closed formation of n-ary groups $\mathfrak{F}$ .