A note on a standard model for Galois rings

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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 Zpr 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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Martínez-Moro, E., Piñera-Nicolás, A., & Rúa, I. F. (2025). A note on a standard model for Galois rings. Applicable Algebra in Engineering, Communications and Computing, 36(3), 443–456. https://doi.org/10.1007/s00200-023-00612-8

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