Geodesic
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 
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/
@article{ZNSL_2010_375_a4,
     author = {Y. V. Volkov and A. I. Generalov and S. O. Ivanov},
     title = {On construction of bimodule resolutions with the help of {Happel's} lemma},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {61--70},
     year = {2010},
     volume = {375},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_375_a4/}
}
TY  - JOUR
AU  - Y. V. Volkov
AU  - A. I. Generalov
AU  - S. O. Ivanov
TI  - On construction of bimodule resolutions with the help of Happel's lemma
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2010
SP  - 61
EP  - 70
VL  - 375
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2010_375_a4/
LA  - ru
ID  - ZNSL_2010_375_a4
ER  - 
%0 Journal Article
%A Y. V. Volkov
%A A. I. Generalov
%A S. O. Ivanov
%T On construction of bimodule resolutions with the help of Happel's lemma
%J Zapiski Nauchnykh Seminarov POMI
%D 2010
%P 61-70
%V 375
%U http://geodesic.mathdoc.fr/item/ZNSL_2010_375_a4/
%G ru
%F ZNSL_2010_375_a4

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

[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