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Fundam. Prikl. Mat., 2009, Volume 15, Issue 3, Pages 183–203 (Mi fpm1233)  

This article is cited in 2 scientific papers (total in 2 papers)

A general version of standard bases in associative algebras and their universal constructions

V. N. Latyshev

M. V. Lomonosov Moscow State University

Abstract: This work is devoted, in some sense, to “methodical” questions. A general version of standard basis in ideal of algebra is presented which uses a notion of so called algebra with a strong filtration introduced recently by the author. Moreover, universal constructions related this class of algebras such as direct sums, tensor products, and free modules are considered.

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English version:
Journal of Mathematical Sciences (New York), 2010, 168:1, 123–132

Bibliographic databases:

UDC: 512.554

Citation: V. N. Latyshev, “A general version of standard bases in associative algebras and their universal constructions”, Fundam. Prikl. Mat., 15:3 (2009), 183–203; J. Math. Sci., 168:1 (2010), 123–132

Citation in format AMSBIB
\Bibitem{Lat09}
\by V.~N.~Latyshev
\paper A~general version of standard bases in associative algebras and their universal constructions
\jour Fundam. Prikl. Mat.
\yr 2009
\vol 15
\issue 3
\pages 183--203
\mathnet{http://mi.mathnet.ru/fpm1233}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2744977}
\transl
\jour J. Math. Sci.
\yr 2010
\vol 168
\issue 1
\pages 123--132
\crossref{https://doi.org/10.1007/s10958-010-9978-x}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77954031494}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Latyshev V.N., “Svobodnoe proizvedenie algebr, dopuskayuschikh standartnye bazisy idealov”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 2011, no. 3, 19–23  mathscinet  zmath  elib
    2. V. N. Latyshev, “Remark on coding in algebras with strong filtration”, Moscow University Mathematics Bulletin, 74:1 (2019), 14–19  mathnet  crossref  isi
  • Фундаментальная и прикладная математика
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