Hopf Differential Graded Galois Extensions

Bo-Ye Zhang ()
Additional contact information
Bo-Ye Zhang: School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China

Mathematics, 2022, vol. 11, issue 1, 1-9

Abstract: We introduce the concept of Hopf dg Galois extensions. For a finite dimensional semisimple Hopf algebra H and an H -module dg algebra R , we show that D ( R # H ) ≅ D ( R H ) is equivalent to that R / R H is a Hopf differential graded Galois extension. We present a weaker version of Hopf differential graded Galois extensions and show the relationships between Hopf differential graded Galois extensions and Hopf Galois extensions.

Keywords: differential graded algebras; derived categories; Galois extensions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/1/128/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/1/128/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2022:i:1:p:128-:d:1016837

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().