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Zapiski Nauchnykh Seminarov LOMI, 1987, Volume 160, Pages 229–238 (Mi znsl5439)  

This article is cited in 1 scientific paper (total in 1 paper)

Some examples of semigroup algebras of finite representation type

I. S. Ponizovskii
Full-text PDF (557 kB) Citations (1)
Abstract: The semigroup algebras over a field $K$ of the semigroups $T_n$ of all permutations of a set of $n$ elements are considered. It is proved: if $n\leq3$ and $(n!)^{-1}\in K$ then the algebra $KT_n$ has a finite representation type. Also the finiteness of the representation type of the semigroup algebra $KS$ is established, where $S$ is the sub-semigroup of $T_n$ ($n$ is arbitrary) such that $S=J_n\cup G$ where $J_n=\{x\in T_n|\operatorname{rank}x=1\}$, while $G$ is a doubly transitive subgroup of the symmetric group $S_n$, the order of $G$ being invertible in $K$.
Bibliographic databases:
Document Type: Article
UDC: 512.552.7
Language: Russian
Citation: I. S. Ponizovskii, “Some examples of semigroup algebras of finite representation type”, Analytical theory of numbers and theory of functions. Part 8, Zap. Nauchn. Sem. LOMI, 160, "Nauka", Leningrad. Otdel., Leningrad, 1987, 229–238
Citation in format AMSBIB
\Bibitem{Pon87}
\by I.~S.~Ponizovskii
\paper Some examples of semigroup algebras of finite representation type
\inbook Analytical theory of numbers and theory of functions. Part~8
\serial Zap. Nauchn. Sem. LOMI
\yr 1987
\vol 160
\pages 229--238
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl5439}
\zmath{https://zbmath.org/?q=an:0900.20146|0626.20052}
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  • https://www.mathnet.ru/eng/znsl/v160/p229
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Записки научных семинаров ПОМИ
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