Geodesic
Algebraic sets with fully characteristic radicals
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 3, pp. 293-297.

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We obtain a necessary and sufficient condition for an algebraic set in a group to have a fully characteristic radical. As a result, we see that if the radical of a system of equation $S$ over a group $G$ is fully characteristic, then there exists a class $\mathfrak{X}$ of subgroups of $G$ such that elements of $S$ are identities of $\mathfrak{X}$.
Keywords: algebraic set, radical ideal, fully invariant congruence, fully characteristic subgroup.
Mots-clés : algebraic structures, equations 
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Mohammad Shahryari. Algebraic sets with fully characteristic radicals. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 3, pp. 293-297. http://geodesic.mathdoc.fr/item/JSFU_2017_10_3_a3/

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