Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 1533–1544
DOI: https://doi.org/10.17377/semi.2017.14.132 (Mi semr891) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical logic, algebra and number theory

On Rota–Baxter operators of non-zero weight arisen from the solutions of the classical Yang–Baxter equation

M. E. Goncharovab

a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
b Department of Mechanics and Mathematics, Novosibirsk State University, Russia
Full-text PDF (159 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.17377/semi.2017.14.132
Abstract: Let $L$ be a simple anti-commutative algebra. In this paper we prove that a non skew-symmetric solution of the classical Yang–Baxter equation on $L$ with $L$-invariant symmetric part induces on $L$ a Rota–Baxter operator of a non-zero weight.
Keywords: Rota–Baxter operator, anti-commutative algebra, Lie algebra, Malcev algebra, non-associative bialgebra, classical Yang–Baxter equation.
Received October 27, 2017, published December 29, 2017
Bibliographic databases:
Document Type: Article
UDC: 512.554
MSC: 16T25,17B62,17D10,17A36
Language: English
Citation: M. E. Goncharov, “On Rota–Baxter operators of non-zero weight arisen from the solutions of the classical Yang–Baxter equation”, Sib. Èlektron. Mat. Izv., 14 (2017), 1533–1544
Citation in format AMSBIB
\Bibitem{Gon17}
\by M.~E.~Goncharov
\paper On Rota--Baxter operators of non-zero weight arisen from the solutions of the classical Yang--Baxter equation
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 1533--1544
\mathnet{http://mi.mathnet.ru/semr891}
\crossref{https://doi.org/10.17377/semi.2017.14.132}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000454861900063}
Linking options:
  • https://www.mathnet.ru/eng/semr891
  • https://www.mathnet.ru/eng/semr/v14/p1533
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:163
    Full-text PDF :46
    References:25
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024