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, 2020, Volume 107, Issue 6, paper published in the English version journal (Mi mzm12401)  
This article is cited in 2 scientific papers (total in 2 papers)

Papers published in the English version of the journal

Local mappings generated by a multiplication on rings of matrices

F. N. Arzikulov, N. M. Umrzaqov

Department of Mathematics, Andizhan State University, Andizhan, 170100 Uzbekistan
Citations (2)
Abstract: In the present paper it is introduced and investigated a notion of local multiplication on the ring of matrices over an arbitrary unital associative ring. It is proved that every local left multiplication on the matrix ring over a division ring is a left multiplication operator. Also, in the present paper, it is introduced and investigated a notion of local Jordan multiplication on a Jordan ring of symmetric matrices. It is proved that every local Jordan multiplication on the Jordan ring of symmetric matrices over the field of rational numbers is a Jordan multiplication and a number of corollaries of these results.
Keywords: ring of matrices, Jordan ring of matrices, left associative multiplication, Jordan multiplication, local mapping.
Received: 02.04.2019
Revised: 30.08.2019
English version:
Mathematical Notes, 2020, Volume 107, Issue 6, Pages 887–897
DOI: https://doi.org/10.1134/S0001434620050193
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: F. N. Arzikulov, N. M. Umrzaqov, “Local mappings generated by a multiplication on rings of matrices”, Math. Notes, 107:6 (2020), 887–897
Citation in format AMSBIB
\Bibitem{ArzUmr20}
\by F.~N.~Arzikulov, N.~M.~Umrzaqov
\paper Local mappings generated by a multiplication on rings of matrices
\jour Math. Notes
\yr 2020
\vol 107
\issue 6
\pages 887--897
\mathnet{http://mi.mathnet.ru/mzm12401}
\crossref{https://doi.org/10.1134/S0001434620050193}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4150995}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000542631800019}
\elib{https://elibrary.ru/item.asp?id=43296127}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85087092522}
Linking options:
  • https://www.mathnet.ru/eng/mzm12401
    • This publication is cited in the following 2 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, 2024