The Radicals of Crossed Products
Quantum Algebra
2007-05-23 v1 Rings and Algebras
Abstract
The relations between the radical of crossed product R #_\sigma H and algebra are obtained. Using this theory, the author shows that if is a finite-dimensional semisimple, cosemisimle, and either commutative or cocommutative Hopf algebra, then is -semiprime iff is semiprime iff R#_{\sigma}H is semiprime.
Cite
@article{arxiv.math/0311530,
title = {The Radicals of Crossed Products},
author = {Shouchuan Zhang},
journal= {arXiv preprint arXiv:math/0311530},
year = {2007}
}
Comments
24pages