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

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{JSFU_2017_10_3_a3,
     author = {Mohammad Shahryari},
     title = {Algebraic sets with fully characteristic radicals},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {293--297},
     publisher = {mathdoc},
     volume = {10},
     number = {3},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2017_10_3_a3/}
}
TY  - JOUR
AU  - Mohammad Shahryari
TI  - Algebraic sets with fully characteristic radicals
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2017
SP  - 293
EP  - 297
VL  - 10
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2017_10_3_a3/
LA  - en
ID  - JSFU_2017_10_3_a3
ER  - 
%0 Journal Article
%A Mohammad Shahryari
%T Algebraic sets with fully characteristic radicals
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2017
%P 293-297
%V 10
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2017_10_3_a3/
%G en
%F JSFU_2017_10_3_a3
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/