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On the Modularity and Algebraicity of the Lattice of Multiply ω-Composition Fitting Classes

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Abstract

In this paper, the sufficient conditions for the modularity equality for collections of \(n\)-multiply \(\omega \)-composition Fitting classes \((n > 0)\) are found. It is proved that the lattice of all \(n\)-multiply \(\omega \)-composition Fitting classes is algebraic \((n\; \geqslant 0)\).

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ACKNOWLEDGMENTS

We would like to thank a reviewer for his kind remarks that made it possible to substantially improve this presentation.

Funding

This study was carried out as part of the State Program for Scientific Research of the Republic of Belarus “Convergence-2025” (State Registration no. 20210495).

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Authors and Affiliations

  1. Jiangnan University, 214122, Wuxi, China

    N. Yang

  2. Masherov Vitebsk State University, 210038, Vitebsk, Belarus

    N. N. Vorob’ev & I. I. Staselka

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  1. N. Yang
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  2. N. N. Vorob’ev
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  3. I. I. Staselka
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Correspondence to N. Yang, N. N. Vorob’ev or I. I. Staselka.

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Yang, N., Vorob’ev, N.N. & Staselka, I.I. On the Modularity and Algebraicity of the Lattice of Multiply ω-Composition Fitting Classes. Russ Math. 67, 66–76 (2023). https://doi.org/10.3103/S1066369X23040072

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