Electronic Resource

A remark on the Galois-type correspondence between ideal coideals and comodule subrings of a Hopf algebroid

Bibliographic Details
Title: A remark on the Galois-type correspondence between ideal coideals and comodule subrings of a Hopf algebroid
Superior Title: Bulletin of the Belgian Mathematical Society Simon Stevin
Publisher Information: 2024-01-01
Added Details: Saracco, Paolo
Document Type: Electronic Resource
Abstract: We exhibit a bijective correspondence between certain left ideal coideals in a Hopf algebroid for which the resulting quotient is a coequalizer and certain right coideal subrings which are themselves an equalizer, remarkably improving a recent result of the author obtained in collaboration with L. El Kaoutit, A. Ghobadi and J. Vercruysse. Interpreting this result in the Hopf algebra setting provides a bijective correspondence which extends the previously known cases.
info:eu-repo/semantics/inPress
Index Terms: Algèbre - théorie des anneaux - théorie des corps, Théorie des ensembles et catégories, Hopf algebroids, ideal coideals, coideal subrings, Galois correspondence, Hopf algebras, info:eu-repo/semantics/article, info:ulb-repo/semantics/articlePeerReview, info:ulb-repo/semantics/openurl/article
URL: https://dipot.ulb.ac.be/dspace/bitstream/2013/366041/4/Saracco_RemarkGalois-type.pdf
https://dipot.ulb.ac.be/dspace/bitstream/2013/366041/3/arXiv.2308.05706
http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/366041
http://worldcat.org/search?q=on:EQY+http://difusion-oai.ulb.ac.be/oai/request+DCG_ENTIRE_REPOSITORY+CNTCOLL
Availability: Open access content. Open access content
2 full-text file(s): info:eu-repo/semantics/openAccess | info:eu-repo/semantics/openAccess
Note: 2 full-text file(s): application/pdf | application/octet-stream
English
Other Numbers: EQY oai:dipot.ulb.ac.be:2013/366041
1415716460
Contributing Source: UNIVERSITE LIBRE DE BRUXELLES
From OAIster®, provided by the OCLC Cooperative.
Accession Number: edsoai.on1415716460
Database: OAIster
Description
Description not available.