Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 3, Pages 19–23 (Mi vmumm681)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

The free product of algebras with standard base for ideals

V. N. Latyshev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (225 kB) Citations (1)
Abstract: A wide class of associative algebras admitting standard bases of ideals was introduced in previous papers of the author. They are called algebras with strong filtration. This class includes all known examples of associative algebras whose ideals possess standard bases. It was proved by the author that the class of algebras with strong filtration is closed with respect to direct sums and tensorial products. It is shown in this paper that it is closed with respect to free products of algebras.
Key words: standard bases, algebras with strong filtration, free products of algebras.
Received: 04.10.2010
Bibliographic databases:
Document Type: Article
UDC: 512.552.4
Language: Russian
Citation: V. N. Latyshev, “The free product of algebras with standard base for ideals”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 3, 19–23
Citation in format AMSBIB
\Bibitem{Lat11}
\by V.~N.~Latyshev
\paper The free product of algebras with standard base for ideals
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 3
\pages 19--23
\mathnet{http://mi.mathnet.ru/vmumm681}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2918862}
\zmath{https://zbmath.org/?q=an:1304.16025}
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