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

par Saracco, Paolo
Référence Bulletin of the Belgian Mathematical Society Simon Stevin
Publication A Paraître, 2024-01-01

Article révisé par les pairs

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Résumé :

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.