Advanced search
Publication Cover
Communications in Algebra Volume 42, 2014 - Issue 5
Submit an article Journal homepage
71
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Two Results on Brzeziński π-crossed Product

Tianshui Ma College of Mathematics and Information Science, Henan Normal University, Xinxiang, ChinaCorrespondence[email protected]
,
Haiying Li College of Mathematics and Information Science, Henan Normal University, Xinxiang, China
&
Zhicheng Zhang College of Mathematics and Information Science, Henan Normal University, Xinxiang, China
Pages 2082-2098 | Received 11 Jun 2012, Published online: 16 Jan 2014
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

We give the necessary and sufficient conditions for a family of Brzezínski crossed product algebras with suitable comultiplication and counit to be a Hopf π-coalgebra. On the other hand, necessary and sufficient conditions for the Brzeziński π-crossed product A⧫H to be a coquasitriangular Hopf π-coalgebra are derived, then the category A⧫H ℳ of the left π-comodules over A⧫H is braided.

2010 Mathematics Subject Classification:

ACKNOWLEDGMENTS

The authors are deeply indebted to the referee for his/her very useful suggestions and some improvements to the original manuscript. This work was partially supported by the NNSF of China (No. 11101128) and the NSF of Henan Province (Nos. 12A110013, 122300410110, 2011GGJS-062).

Notes

Communicated by E. Puczylowski.

Log in via your institution

Access through your institution

Log in to Taylor & Francis Online

Restore content access

Restore content access for purchases made as guest
Purchase options * Save for later

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,187.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.