2017
Том 69
№ 9

All Issues

On τ-Closed Formations of n-Ary Group

Al Dababseh Avni Faez

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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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