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Algebra i logika, 2006, Volume 45, Number 3, Pages 257–299 (Mi al146)  
This article is cited in 25 scientific papers (total in 25 papers)

Some Properties of General Linear Supergroups and of Schur Superalgebras

A. N. Zubkov

Omsk State Pedagogical University
Full-text PDF (386 kB) Citations (25)
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Abstract: It is shown that the category of rational supermodules over a general linear supergroup is a highest weight category. More exactly, we construct superanalogs of the theory of modules with good filtration and of the dual theory of modules with Weyl's. Using these, we show that indecomposable injective supermodules have good filtration of a certain kind.
Keywords: countable linear ordering, $\Delta_2^0$-degree, $\Delta_2^0$-spectrum.
Received: 06.12.2005
English version:
Algebra and Logic, 2006, Volume 45, Issue 3, Pages 147–171
DOI: https://doi.org/10.1007/s10469-006-0014-7
Bibliographic databases:
UDC: 512.552.22
Language: Russian
Citation: A. N. Zubkov, “Some Properties of General Linear Supergroups and of Schur Superalgebras”, Algebra Logika, 45:3 (2006), 257–299; Algebra and Logic, 45:3 (2006), 147–171
Citation in format AMSBIB
\Bibitem{Zub06}
\by A.~N.~Zubkov
\paper Some Properties of General Linear Supergroups and of Schur Superalgebras
\jour Algebra Logika
\yr 2006
\vol 45
\issue 3
\pages 257--299
\mathnet{http://mi.mathnet.ru/al146}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2289090}
\zmath{https://zbmath.org/?q=an:1118.16029}
\transl
\jour Algebra and Logic
\yr 2006
\vol 45
\issue 3
\pages 147--171
\crossref{https://doi.org/10.1007/s10469-006-0014-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33745607322}
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    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Full-text PDF :148
    References:58
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