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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 388, Pages 189–195 (Mi znsl4110)  
This article is cited in 2 scientific papers (total in 2 papers)

Commutative algebras and representations of the category of finite sets

S. S. Podkorytov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (547 kB) Citations (2)
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Abstract: We prove that two finite-dimensional commutative algebras over an algebraically closed field are isomorphic if and only if they give rise to isomorphic representations of the category of finite sets and surjective maps.
Key words and phrases: Loday functor.
Received: 02.04.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 183, Issue 5, Pages 681–684
DOI: https://doi.org/10.1007/s10958-012-0832-1
Bibliographic databases:
Document Type: Article
UDC: 514.142
Language: Russian
Citation: S. S. Podkorytov, “Commutative algebras and representations of the category of finite sets”, Problems in the theory of representations of algebras and groups. Part 21, Zap. Nauchn. Sem. POMI, 388, POMI, St. Petersburg, 2011, 189–195; J. Math. Sci. (N. Y.), 183:5 (2012), 681–684
Citation in format AMSBIB
\Bibitem{Pod11}
\by S.~S.~Podkorytov
\paper Commutative algebras and representations of the category of finite sets
\inbook Problems in the theory of representations of algebras and groups. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 388
\pages 189--195
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4110}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 183
\issue 5
\pages 681--684
\crossref{https://doi.org/10.1007/s10958-012-0832-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862254268}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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