|
This article is cited in 1 scientific paper (total in 1 paper)
Morita Context, Partial Hopf Galois Extensions and Partial Entwining Structure
C. Z. Du, J. F. Lin School of Mathematical Science, Huaibei Normal University
Abstract:
We first introduce the notion of a right generalized partial smash product and explore some properties of such partial smash product. Based on these notions and properties, then we construct a Morita context for partial coactions of a co-Frobenius Hopf algebra. Finally, we prove that any Hopf partial Galois extension induces a unique partial entwining map compatible with the right partial coaction.
Keywords:
partial smash product, Morita context, partial entwining structure, partial Hopf Galois extension.
Received: 22.11.2011 Revised: 17.11.2012
Citation:
C. Z. Du, J. F. Lin, “Morita Context, Partial Hopf Galois Extensions and Partial Entwining Structure”, Mat. Zametki, 95:1 (2014), 50–62; Math. Notes, 95:1 (2014), 43–52
Linking options:
https://www.mathnet.ru/eng/mzm10408https://doi.org/10.4213/mzm10408 https://www.mathnet.ru/eng/mzm/v95/i1/p50
|
|