Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 13, Tome 330 (2006), pp. 29-35
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E. A. Bezyakina; A. I. Generalov. Cocycles in the relative Hochschild cohomology. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 13, Tome 330 (2006), pp. 29-35. http://geodesic.mathdoc.fr/item/ZNSL_2006_330_a1/
@article{ZNSL_2006_330_a1,
author = {E. A. Bezyakina and A. I. Generalov},
title = {Cocycles in the relative {Hochschild} cohomology},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {29--35},
year = {2006},
volume = {330},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_330_a1/}
}
TY - JOUR
AU - E. A. Bezyakina
AU - A. I. Generalov
TI - Cocycles in the relative Hochschild cohomology
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2006
SP - 29
EP - 35
VL - 330
UR - http://geodesic.mathdoc.fr/item/ZNSL_2006_330_a1/
LA - ru
ID - ZNSL_2006_330_a1
ER -
%0 Journal Article
%A E. A. Bezyakina
%A A. I. Generalov
%T Cocycles in the relative Hochschild cohomology
%J Zapiski Nauchnykh Seminarov POMI
%D 2006
%P 29-35
%V 330
%U http://geodesic.mathdoc.fr/item/ZNSL_2006_330_a1/
%G ru
%F ZNSL_2006_330_a1
Let $E$ be a long exact sequence of modules over an algebra $A$ admitting a contracting homotopy over a subalgebra $B\subset A$. In settings of the relative homological algebra, the Hochschild cocycle corresponding to the sequence $E$ is described explicitly. The “absolute case” has been earlier investigated by V. Dlab and C. M. Ringel. Being applied to that case, the present investigation gives a shorter arguments than that of Dlab–Ringel's work.
