On construction of bimodule resolutions with the help of Happel's lemma
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 19, Tome 375 (2010), pp. 61-70 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
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Y. V. Volkov; A. I. Generalov; S. O. Ivanov. On construction of bimodule resolutions with the help of Happel's lemma. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 19, Tome 375 (2010), pp. 61-70. http://geodesic.mathdoc.fr/item/ZNSL_2010_375_a4/

[1] D. Happel, “Hochschild cohomology of finite-dimensional algebras”, Lect. Notes Math., 1404, 1989, 108–126 | DOI | MR | Zbl

[2] A. I. Generalov, M. A. Kachalova, “Bimodulnaya rezolventa algebry Mëbiusa”, Zap. nauchn. semin. POMI, 321, 2005, 36–66 | MR | Zbl

[3] Yu. V. Volkov, A. I. Generalov, “Kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $D_n$, I”, Zap. nauchn. semin. POMI, 343, 2007, 121–182 | MR

[4] Yu. V. Volkov, “Kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $D_n$, II”, Zap. nauchn. semin. POMI, 365, 2009, 63–121 | Zbl

[5] A. I. Generalov, A. A. Ivanov, S. O. Ivanov, “Kogomologii Khokhshilda algebr kvaternionnogo tipa. II. Seriya $Q(2\mathcal B)_1$ v kharakteristike 2”, Zap. nauchn. semin. POMI, 349, 2007, 53–134

[6] Yu. V. Volkov, “Klassy stabilnoi ekvivalentnosti samoin'ektivnykh algebr drevesnogo tipa $D_n$”, Vestnik S.-Pb. un-ta. Ser. 1. Mat., mekh., astr., 2008, no. 1, 15–21 | Zbl