Abstract
In this work we present a standard model for Galois rings based on the standard model of their residual fields, that is, a a sequence of Galois rings starting with \({\mathbb Z}_{p^r}\) that coves all the Galois rings with that characteristic ring and such that there is an algorithm producing each member of the sequence whose input is the size of the required ring.
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E. Martínez-Moro: Partially supported by grant TED2021-130358B-I00 funded by MCIN/AEI/10.13039/501100011033 and by the “European Union Next Generation EU/PRTR”
A. Piñera-Nicolás: Partially supported by MINECO-13-MTM2013-45588-C3-1-P.
I.F. Rúa: Partially supported by MINECO-13-MTM2013-45588-C3-1-P and Principado de Asturias Grant GRUPIN14-142.
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Martínez-Moro, E., Piñera-Nicolás, A. & Rúa, I.F. A note on a standard model for Galois rings. AAECC (2023). https://doi.org/10.1007/s00200-023-00612-8
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DOI: https://doi.org/10.1007/s00200-023-00612-8