Geodesic
Cohomological triviality of bimodules over Frobenius algebras
Sbornik. Mathematics, Tome 34 (1978) no. 2, pp. 235-241

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{SM_1978_34_2_a6,
     author = {F. R. Bobovich},
     title = {Cohomological triviality of bimodules over {Frobenius} algebras},
     journal = {Sbornik. Mathematics},
     pages = {235--241},
     publisher = {mathdoc},
     volume = {34},
     number = {2},
     year = {1978},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1978_34_2_a6/}
}
TY  - JOUR
AU  - F. R. Bobovich
TI  - Cohomological triviality of bimodules over Frobenius algebras
JO  - Sbornik. Mathematics
PY  - 1978
SP  - 235
EP  - 241
VL  - 34
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1978_34_2_a6/
LA  - en
ID  - SM_1978_34_2_a6
ER  - 
%0 Journal Article
%A F. R. Bobovich
%T Cohomological triviality of bimodules over Frobenius algebras
%J Sbornik. Mathematics
%D 1978
%P 235-241
%V 34
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1978_34_2_a6/
%G en
%F SM_1978_34_2_a6
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/