On the structure of the smallest element of the Lockett section of a $\pi$-soluble fitting fu
Problemy fiziki, matematiki i tehniki, no. 3 (2012), pp. 48-57

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Let f be a conjugate $\lambda$-normally embedded $\pi$-soluble Fitting functor and let $f_*$ be the smallest element of the Lockett section of f with respect to strong containment. A generalized version of an open question of Beidleman-Brewster-Hauck is to give a description of $f_*$. In this paper such a description is presented.
Keywords: Lockett's operation, Lockett section, Fitting $\mathfrak{X}$-functor.
@article{PFMT_2012_3_a9,
     author = {E. A. Vit'ko},
     title = {On the structure of the smallest element of the {Lockett} section of a $\pi$-soluble fitting fu},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {48--57},
     publisher = {mathdoc},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2012_3_a9/}
}
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E. A. Vit'ko. On the structure of the smallest element of the Lockett section of a $\pi$-soluble fitting fu. Problemy fiziki, matematiki i tehniki, no. 3 (2012), pp. 48-57. http://geodesic.mathdoc.fr/item/PFMT_2012_3_a9/