Residue rings, chain rings and their model theory | Vidéo | Carmin.tv

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Residue rings, chain rings and their model theory

By Paola D'Aquino

Appears in collection : Arithmetic of fields: model theory, valuations, and geometry / L'arithmétiques des corps : théories des modèles, valuations, et geometrie

I will present some ongoing work on chain rings. I will first recall the algebraic properties of these structures, and then I will discuss the model theoretic approach (joint work with Anna De Mase)

Information about the video

Date of recording 09/04/2026
Date of publication 30/04/2026
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20466903
Cite this video D'Aquino, Paola (09/04/2026). Residue rings, chain rings and their model theory. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20466903
URL https://dx.doi.org/10.24350/CIRM.V.20466903

Domain(s)

Logic

Bibliography

AX, James. The elementary theory of finite fields. Annals of Mathematics, 1968, vol. 88, no 2, p. 239-271. - https://doi.org/10.2307/1970573
BELLO AGUIRRE, Ricardo Isaac. Generalised stability of ultraproducts of finite residue rings. Archive for Mathematical Logic, 2021, vol. 60, no 7, p. 815-829. - https://doi.org/10.1007/s00153-021-00760-z
D'AQUINO, Paola, DERAKHSHAN, Jamshid, et MACINTYRE, Angus. Truncations of ordered abelian groups. Algebra universalis, 2021, vol. 82, no 2, p. 27. - https://doi.org/10.1007/s00012-021-00717-6
MCDONALD, Bernard R. Finite rings with identity. Monographs and textbooks in pure and applied mathematics 28. M. Dekker, New York, 1974. -

MSC codes

03C60 Model-theoretic algebra

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