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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 321, Pages 5–12 (Mi znsl405)  
This article is cited in 5 scientific papers (total in 5 papers)

Grothendieck group for the stable category of symmetric special biserial algebras

M. A. Antipov

Saint-Petersburg State University
Full-text PDF (160 kB) Citations (5)
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Abstract: In this paper we describe Cartan matrices of symmetric special biserial algebras and compute the order of Grothendieck group for the stable category of these algebras. In particular, we obtain a criterion for existence of a free summand in these groups.
Received: 21.11.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 136, Issue 3, Pages 3833–3836
DOI: https://doi.org/10.1007/s10958-006-0204-9
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: M. A. Antipov, “Grothendieck group for the stable category of symmetric special biserial algebras”, Problems in the theory of representations of algebras and groups. Part 12, Zap. Nauchn. Sem. POMI, 321, POMI, St. Petersburg, 2005, 5–12; J. Math. Sci. (N. Y.), 136:3 (2006), 3833–3836
Citation in format AMSBIB
\Bibitem{Ant05}
\by M.~A.~Antipov
\paper Grothendieck group for the stable category
of symmetric special biserial algebras
\inbook Problems in the theory of representations of algebras and groups. Part~12
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 321
\pages 5--12
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl405}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2138409}
\zmath{https://zbmath.org/?q=an:1070.16006}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 136
\issue 3
\pages 3833--3836
\crossref{https://doi.org/10.1007/s10958-006-0204-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33744799752}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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