Geodesic
On certain properties of totally local formations
Matematičeskie zametki, Tome 60 (1996) no. 1, pp. 24-29

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$l_\infty\operatorname{form}G$ The structure of the totally local formation $l_\infty\operatorname{form}G$, generated by a simple non-Abelian group $G$ is described. By applying this result we prove the existence of totally local formations that are not idempotents of the semigroup $G_\infty$ of all totally local formations and are not representable as the product of finitely many indecomposable elements of $G_\infty$. We also describe totally local formations all of whose totally local subformations are hereditary. 
@article{MZM_1996_60_1_a2,
     author = {S. F. Kamornikov},
     title = {On certain properties of totally local formations},
     journal = {Matemati\v{c}eskie zametki},
     pages = {24--29},
     publisher = {mathdoc},
     volume = {60},
     number = {1},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_60_1_a2/}
}
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S. F. Kamornikov. On certain properties of totally local formations. Matematičeskie zametki, Tome 60 (1996) no. 1, pp. 24-29. http://geodesic.mathdoc.fr/item/MZM_1996_60_1_a2/