Abstract
Let H be a bialgebra. Let be a linear map, where A is a left H-comodule coalgebra, and an algebra with a left H-weak action Let be a linear map, where B is a right H-comodule coalgebra, and an algebra with a right H-weak action In this paper, we improve the necessary conditions for the two-sided crossed product algebra and the two-sided smash coproduct coalgebra to form a bialgebra (called double crossed biproduct) such that the condition in Majid’s double biproduct (or double-bosonization) is one of the necessary conditions. On the other hand, we provide a more general two-sided crossed product algebra structure via Brzezński’s crossed product and give some applications.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
