2019
Том 71
№ 7

# On τ-Closed Formations of n-Ary Group

Al Dababseh Avni Faez

Abstract

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 $\mathfrak{F}$ .

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 1, pp 129-133.

Citation Example: Al Dababseh Avni Faez On τ-Closed Formations of n-Ary Group // Ukr. Mat. Zh. - 2001. - 53, № 1. - pp. 113-116.

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