Siberian Journal of Pure and Applied Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. J. Pure and Appl. Math.:
Year:
Volume:
Issue:
Page:
Find




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

Siberian Journal of Pure and Applied Mathematics, 2018, Volume 18, Issue 3, Pages 20–26
DOI: https://doi.org/10.33048/pam.2018.18.302 (Mi vngu475) 		 
On unsolvable $Q$-theories of ring varieties

A. I. Budkin

Altai State University 61, Lenina St., Barnaul 656049, Russia
Full-text PDF (119 kB)
References:
PDF
HTML
DOI: https://doi.org/10.33048/pam.2018.18.302
Abstract: Let $\mathcal{M}$ be any proper variety of associative rings. We prove that there exists an infinite set of varieties of associative rings containing $\mathcal{M}$ with unsolvable $Q$-theories. In particular, this result is a positive solution to the Mal'cev problem from the Kourovka Notebook on the existence of such varieties.
Keywords: quasivariety, variety, $Q$-theory, solvability, universal algebra, ring, Lee ring.
Received: 28.04.2018
English version:
Journal of Mathematical Sciences, 2021, Volume 253, Issue 3, Pages 354–359
DOI: https://doi.org/10.1007/s10958-021-05233-5
Document Type: Article
UDC: 510.53 512.55
Language: Russian
Citation: A. I. Budkin, “On unsolvable $Q$-theories of ring varieties”, Sib. J. Pure and Appl. Math., 18:3 (2018), 20–26; J. Math. Sci., 253:3 (2021), 354–359
Citation in format AMSBIB
\Bibitem{Bud18}
\by A.~I.~Budkin
\paper On unsolvable $Q$-theories of ring varieties
\jour Sib. J. Pure and Appl. Math.
\yr 2018
\vol 18
\issue 3
\pages 20--26
\mathnet{http://mi.mathnet.ru/vngu475}
\crossref{https://doi.org/10.33048/pam.2018.18.302}
\transl
\jour J. Math. Sci.
\yr 2021
\vol 253
\issue 3
\pages 354--359
\crossref{https://doi.org/10.1007/s10958-021-05233-5}
Linking options:
  • https://www.mathnet.ru/eng/vngu475
  • https://www.mathnet.ru/eng/vngu/v18/i3/p20
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал чистой и прикладной математики
    Statistics & downloads:
    Abstract page:192
    Full-text PDF :36
    References:34
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024