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

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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. Yang^a, N. N. Vorob'ev^b, I. I. Staselka^b

^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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https://www.mathnet.ru/eng/ivm/y2023/i4/p76

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Известия высших учебных заведений. Математика

Russian Mathematics (Izvestiya VUZ. Matematika)

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References:	38
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