Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 1, Pages 50–53 (Mi vmumm296)  
This article is cited in 5 scientific papers (total in 5 papers)

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Primary differential nil-algebras do exist

G. A. Pogudin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (234 kB) Citations (5)
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Abstract: We construct a monomorphism from differential algebra $k\{x\} / [x^m]$ to Grassmann algebra endowed with the structure of differential algebra. Using this monomorphism, we prove the primality of the $k\{x\} / [x^m]$ and its algebra of differential polynomials, solve the so-called Ritt problem and give a new proof of integrality of the ideal $[x^m]$.
Key words: differential algebra, algebra of differential polynomials, Ritt problem, prime radical.
Received: 12.11.2012
English version:
Moscow University Mathematics Bulletin, 2014, Volume 69, Issue 1, Pages 33–36
DOI: https://doi.org/10.3103/S0027132214010069
Bibliographic databases:
Document Type: Article
UDC: 512.628.2+512.552.12
Language: Russian
Citation: G. A. Pogudin, “Primary differential nil-algebras do exist”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 1, 50–53; Moscow University Mathematics Bulletin, 69:1 (2014), 33–36
Citation in format AMSBIB
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\by G.~A.~Pogudin
\paper Primary differential nil-algebras do exist
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2014
\issue 1
\pages 50--53
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2014
\vol 69
\issue 1
\pages 33--36
\crossref{https://doi.org/10.3103/S0027132214010069}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84896375578}
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    • This publication is cited in the following 5 articles:
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