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Cohomological triviality of bimodules over Frobenius algebras
Sbornik. Mathematics, Tome 34 (1978) no. 2, pp. 235-241 Cet article a éte moissonné depuis la source Math-Net.Ru

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The structure of Frobenius $Z_p$-algebras with disjointness condition is studied. When $p=2$ an analogue of Nakayama's theorem on cohomological triviality is proved for suitable algebras whose radical squared is zero. When $p\ne2$, cohomological triviality in all dimensions will not generally be implied by the vanishing of cohomology in a single dimension, but will follow from the vanishing in two successive dimensions. Bibliography: 9 titles. 
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     author = {F. R. Bobovich},
     title = {Cohomological triviality of bimodules over {Frobenius} algebras},
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F. R. Bobovich. Cohomological triviality of bimodules over Frobenius algebras. Sbornik. Mathematics, Tome 34 (1978) no. 2, pp. 235-241. http://geodesic.mathdoc.fr/item/SM_1978_34_2_a6/

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[2] Ch. Kertis, I. Rainer, Teoriya predstavlenii konechnykh grupp i assotsiativnykh algebr, izd-vo “Nauka”, Moskva, 1969 | MR

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[7] F. R. Bobovich, D. K. Faddeev, “O kogomologiyakh Khokhshilda dlya $Z$-kolets so stepennym bazisom”, Matem. zametki, 4:2 (1968), 141–150 | MR

[8] T. Nakayama, “On modules of trivial cohomology over a finite group. III”, J. Math., 1:1 (1957), 36–46 | MR

[9] H. Ogawa, “On a duality of cohomology groups of Frobenius algebras”, Tǒhoku Math. J., 13:1 (1961), 46–65 | MR | Zbl