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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 375, Pages 61–70 (Mi znsl3608)  
This article is cited in 21 scientific papers (total in 21 papers)

On construction of bimodule resolutions with the help of Happel's lemma

Y. V. Volkov, A. I. Generalov, S. O. Ivanov

Saint-Petersburg State University, Saint-Petersburg, Russia
Full-text PDF (605 kB) Citations (21)
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Abstract: A criterion for the sequence obtained with the help of Happel's lemma to be a minimal bimodule projective resolution is proved. This criterion is used to construct bimodule resolution for a family of self-injective algebras of tree class $D_4$. Bibl. – 6 titles.
Key words and phrases: bimodule resolution, Happel's lemma.
Received: 13.03.2010
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 171, Issue 3, Pages 338–343
DOI: https://doi.org/10.1007/s10958-010-0139-z
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: Y. V. Volkov, A. I. Generalov, S. O. Ivanov, “On construction of bimodule resolutions with the help of Happel's lemma”, Problems in the theory of representations of algebras and groups. Part 19, Zap. Nauchn. Sem. POMI, 375, POMI, St. Petersburg, 2010, 61–70; J. Math. Sci. (N. Y.), 171:3 (2010), 338–343
Citation in format AMSBIB
\Bibitem{VolGenIva10}
\by Y.~V.~Volkov, A.~I.~Generalov, S.~O.~Ivanov
\paper On construction of bimodule resolutions with the help of Happel's lemma
\inbook Problems in the theory of representations of algebras and groups. Part~19
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 375
\pages 61--70
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3608}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 171
\issue 3
\pages 338--343
\crossref{https://doi.org/10.1007/s10958-010-0139-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649446545}
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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