Abstract
In this paper, we give the notion of (lax or weak) Hom-corings, which leads to the introduction of partial coaction of a Hom-Hopf algebra on a Hom-algebra. We construct several pairs of adjoint functors, and define Galois Hom-corings, as a special case of which Galois Hom-coalgebras are introduced.
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Acknowledgements
The authors sincerely thank the referee for his/her numerous very valuable comments and suggestions on this article. This work was supported by the National Natural Science Foundation of China (No. 12271292) and the Natural Foundation of Shandong Province (No. ZR2022MA002).
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Chen, Q., Wang, D. Hom-corings, Hom-coalgebra Galois Extensions and Partial Coactions of Monoidal Hom-Hopf Algebras. Front. Math 19, 891–911 (2024). https://doi.org/10.1007/s11464-022-0339-0
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DOI: https://doi.org/10.1007/s11464-022-0339-0