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Zap. Nauchn. Sem. POMI, 2011, Volume 388, Pages 189–195 (Mi znsl4110)  

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

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.

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English version:
Journal of Mathematical Sciences (New York), 2012, 183:5, 681–684

UDC: 514.142
Received: 02.04.2011

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{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862254268}


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