RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Journal history

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Fundam. Prikl. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Fundam. Prikl. Mat., 2016, Volume 21, Issue 1, Pages 145–163 (Mi fpm1709)  

Finite combinatorial generation of metabelian $T$-ideal

V. N. Latyshev

Lomonosov Moscow State University

Abstract: In this work, we develop our idea on the construction of a system of combinatorial generators in a $T$-ideal of a free associative algebra, which is a full analogy of a Gröbner–Shirshov basis in a polynomial ideal. We prove a theorem on multilinear monomials that enables us to establish the existence of a finite set of combinatorial generators in a metabelian $T$-ideal.

Full text: PDF file (218 kB)
References: PDF file   HTML file

English version:
Journal of Mathematical Sciences (New York), 2018, 233:5, 702–712

UDC: 512.552

Citation: V. N. Latyshev, “Finite combinatorial generation of metabelian $T$-ideal”, Fundam. Prikl. Mat., 21:1 (2016), 145–163; J. Math. Sci., 233:5 (2018), 702–712

Citation in format AMSBIB
\Bibitem{Lat16}
\by V.~N.~Latyshev
\paper Finite combinatorial generation of metabelian $T$-ideal
\jour Fundam. Prikl. Mat.
\yr 2016
\vol 21
\issue 1
\pages 145--163
\mathnet{http://mi.mathnet.ru/fpm1709}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 233
\issue 5
\pages 702--712
\crossref{https://doi.org/10.1007/s10958-018-3958-y}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85050911591}


Linking options:
  • http://mi.mathnet.ru/eng/fpm1709
  • http://mi.mathnet.ru/eng/fpm/v21/i1/p145

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Фундаментальная и прикладная математика
    Number of views:
    This page:133
    Full text:54
    References:24

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020