Open Research Index

Arthur742Ramos/NagataFactoriality

Arthur Freitas Ramos, David Barros Hulak, Ruy J. G. B. de Queiroz

Palomar Registrypalomar/PALOMAR-2026-08-28-000002Aug 28, 2026math.ACscore 0

A Lean 4 and Mathlib formalization of Nagata's factoriality theorem for noetherian integral domains. It proves that unique factorization descends from a localization when every denominator is a finite product of prime elements, packages the specialization to submonoids generated by sets of primes, and demonstrates the method with a Nagata-based polynomial UFD theorem.

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