Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 2021, Volume 110, Issue 5, Pages 658–671
DOI: https://doi.org/10.4213/mzm13135 (Mi mzm13135) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Distributivity and Modularity Properties of the Lattice of Fitting Classes

N. T. Vorob'ev, E. D. Lantsetova

Vitebsk State University named after P. M. Masherov
Full-text PDF (534 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm13135
Abstract: It is proved that the lattice of all Fitting classes of finite groups is not distributive, and conditions under which Fitting classes satisfy the distributive and modular laws are determined.
Keywords: Fitting class, $\mathfrak{F}$-radical, lattice of Fitting classes, modular and distributive laws.
Funding agency Grant number
National Academy of Sciences of Belarus, Ministry of Education of the Republic of Belarus
This work was supported by the State Program for Scientific Research of the Republic of Belarus “Convergence-2025.”
Received: 04.06.2021
Revised: 15.06.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 5, Pages 655–665
DOI: https://doi.org/10.1134/S000143462111002X
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: N. T. Vorob'ev, E. D. Lantsetova, “On the Distributivity and Modularity Properties of the Lattice of Fitting Classes”, Mat. Zametki, 110:5 (2021), 658–671; Math. Notes, 110:5 (2021), 655–665
Citation in format AMSBIB
\Bibitem{VorVol21}
\by N.~T.~Vorob'ev, E.~D.~Lantsetova
\paper On the Distributivity and Modularity Properties of the Lattice of Fitting Classes
\jour Mat. Zametki
\yr 2021
\vol 110
\issue 5
\pages 658--671
\mathnet{http://mi.mathnet.ru/mzm13135}
\crossref{https://doi.org/10.4213/mzm13135}
\elib{https://elibrary.ru/item.asp?id=47173798}
\transl
\jour Math. Notes
\yr 2021
\vol 110
\issue 5
\pages 655--665
\crossref{https://doi.org/10.1134/S000143462111002X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000730355100002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85121349313}
Linking options:
  • https://www.mathnet.ru/eng/mzm13135
  • https://doi.org/10.4213/mzm13135
  • https://www.mathnet.ru/eng/mzm/v110/i5/p658
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025