Enveloping actions and duality theorems for partial twisted smash products
Rings and Algebras
2015-01-05 v1
Abstract
In this paper, we first generalize the theorem about the existence of an enveloping action to a partial twisted smash product. Second, we construct a Morita context between the partial twisted smash product and the twisted smash product related to the enveloping action. Furthermore, we show some results relating partial actions and partial representations over the partial twisted smash products, which generalize the results of Alves and Batista (Comm. Algebra, 38(8): 2872-2902, 2010). Finally, we present versions of the duality theorems of Blattner-Montgomery for partial twisted smash products.
Keywords
Cite
@article{arxiv.1501.00120,
title = {Enveloping actions and duality theorems for partial twisted smash products},
author = {Shuangjian Guo and Shengxiang Wang},
journal= {arXiv preprint arXiv:1501.00120},
year = {2015}
}
Comments
16pages. arXiv admin note: text overlap with arXiv:0805.4805 by other authors