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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023, Number 4, Pages 76–88
DOI: https://doi.org/10.26907/0021-3446-2023-4-76-88 (Mi ivm9871) 		 
On modularity and algebraicity of the lattice of multiply $\omega$-composition Fitting classes

N. Yanga, N. N. Vorob'evb, I. I. Staselkab

a Jiangnan University, Wuxi, 214122 P. R. China
b Vitebsk State University named after P.M. Masherov, 33 Moskovsky Ave., Vitebsk, 210038 Belarus
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DOI: https://doi.org/10.26907/0021-3446-2023-4-76-88
Abstract: In this paper it was found the sufficient conditions for the modularity equality for the collections of $n$-multiply $\omega$-composition Fitting classes $(n > 0)$. It was proved that the lattice of all $n$-multiply $\omega$-composition Fitting classes is algebraic $(n \geqslant 0)$.
Keywords: finite group, Fitting class, $\omega$-composition Fitting class, $\omega$-composition $H$-function of a Fitting class, $n$-multiply $\omega$-composition Fitting class, complete lattice of Fitting classes, modular lattice, algebraic lattice.
Funding agency Grant number
ГПНИ "Конвергенция-2025" 20210495
Received: 16.07.2022
Revised: 16.07.2022
Accepted: 21.12.2022
Document Type: Article
UDC: 512.542
Language: Russian
Citation: N. Yang, N. N. Vorob'ev, I. I. Staselka, “On modularity and algebraicity of the lattice of multiply $\omega$-composition Fitting classes”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 4, 76–88
Citation in format AMSBIB
\Bibitem{YanVorSta23}
\by N.~Yang, N.~N.~Vorob'ev, I.~I.~Staselka
\paper On modularity and algebraicity of the lattice of multiply $\omega$-composition Fitting classes
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2023
\issue 4
\pages 76--88
\mathnet{http://mi.mathnet.ru/ivm9871}
\crossref{https://doi.org/10.26907/0021-3446-2023-4-76-88}
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