The cohomology of monogenic extensions in the noncommutative setting
K-Theory and Homology
2007-06-13 v2
Abstract
We extend the notion of monogenic extension to the noncommutative setting, and we study the Hochschild cohomology ring of such an extension. As an aplication we complete the computation of the cohomology ring of the rank one Hopf algebras beggined in [S. M. Burciu and S. J. Witherspoon, Hochschild cohomology of smash products and rank one Hopf algebras].
Keywords
Cite
@article{arxiv.math/0702390,
title = {The cohomology of monogenic extensions in the noncommutative setting},
author = {Marco Farinati and Jorge A. Guccione and Juan J. Guccione},
journal= {arXiv preprint arXiv:math/0702390},
year = {2007}
}
Comments
25 pages. Some examples added, and also the Gerstenhaber structure is computed in a big family of examples, including the rank one Hopf algebras