Braided module and comodule algebras, Galois extensions and elements of trace 1

JOURNAL OF ALGEBRA

卷:307

Article

Da Rocha, Mauricio ; Guccione, Jorge A. ; Guccione, Juan J.

关键词: braided hopf algebras;    crossed products;    Galois extensions;   

DOI  :  10.1016/j.jalgebra.2006.05.008

来源: Elsevier

【 摘 要 】

Let k be a field and let H be a rigid braided Hopf k-algebra. In this paper we continue the study of the theory of braided Hopf crossed products began in [J.A. Guecione, J.J. Guccione, Theory of braided Hopf crossed products, J. Algebra 261 (2003) 54-101]. First we show that to have an H-braided comodule algebra is the same that to have an W-braided module algebra, where H-dagger is a variant of H*, and then we study the maps [,] and (,), that appear in the Morita context introduced in the above cited paper. (c) 2006 Published by Elsevier Inc.

【 授权许可】

Free