Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Proceedings of the A...arrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
Proceedings of the American Mathematical Society
Article
License: publisher-specific, author manuscript
Data sources: UnpayWall
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
arXiv.org e-Print Archive
Preprint . 2017
Data sources: arXiv.org e-Print Archive
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Proceedings of the American Mathematical Society
Article . 2018 . Peer-reviewed
License: https://www.ams.org/publications/copyright-and-permissions
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2018
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 2017
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
https://dx.doi.org/10.1090/pro...
Other literature type
Data sources: Microsoft Academic Graph
https://dx.doi.org/10.1090/pro...
Other literature type
Data sources: Microsoft Academic Graph
 View all 4 versions
Claim

A note on the bijectivity of the antipode of a Hopf algebra and its applications

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 07 Aug 2018Embargo end date: 01 Apr 2017 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 146, pages 4,619-4,631 (issn: 0002-9939, eissn: 1088-6826, Copyright policy )
Authors: Lü, Jiafeng; Oh, Sei-Qwon; Wang, Xingting; Yu, Xiaolan;

doi: 10.1090/proc/14140 , 10.48550/arxiv.1704.05731

arXiv: 1704.05731

A note on the bijectivity of the antipode of a Hopf algebra and its applications

Abstract

Certain sufficient homological and ring-theoretical conditions are given for a Hopf algebra to have a bijective antipode with applications to noetherian Hopf algebras regarding their homological behaviors.

Related Organizations
View all View all
Keywords

AS-regular, Hopf algebras and their applications, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Rings and Algebras (math.RA), antipode, FOS: Mathematics, Mathematics - Rings and Algebras, AS-Gorenstein, Calabi-Yau algebra, Hopf algebra, 16E65, 16W30, 16W35

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 4
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
Green
hybrid