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, 1972, Volume 11, Issue 3, Pages 299–306 (Mi mzm9792)  
Nil systems and radicals in alternative Artin rings

A. S. Markovichev

Institute of Mathematics of the Siberian Branch of the Academy of Sciences of the USSR
Full-text PDF (1071 kB)
Abstract: It is proved that: 1) under an essential restriction the enveloping ring of a weakly closed nil system in an alternative Artin ring is nilpotent; 2) the radical of an alternative ring is an intersection of all its maximal nilpotent subrings. There are 8 references.
Received: 12.01.1971
English version:
Mathematical Notes, 1972, Volume 11, Issue 3, Pages 186–190
DOI: https://doi.org/10.1007/BF01098523
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: A. S. Markovichev, “Nil systems and radicals in alternative Artin rings”, Mat. Zametki, 11:3 (1972), 299–306; Math. Notes, 11:3 (1972), 186–190
Citation in format AMSBIB
\Bibitem{Mar72}
\by A.~S.~Markovichev
\paper Nil systems and radicals in alternative Artin rings
\jour Mat. Zametki
\yr 1972
\vol 11
\issue 3
\pages 299--306
\mathnet{http://mi.mathnet.ru/mzm9792}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=297831}
\zmath{https://zbmath.org/?q=an:0244.16010|0232.16010}
\transl
\jour Math. Notes
\yr 1972
\vol 11
\issue 3
\pages 186--190
\crossref{https://doi.org/10.1007/BF01098523}
Linking options:
  • https://www.mathnet.ru/eng/mzm9792
  • https://www.mathnet.ru/eng/mzm/v11/i3/p299
    • 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