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Valuations with an infinite limit-depth
Maria Alberich‐Carramiñana (Institut de Robòtica i Informàtica Industrial, Universitat Politècnica de Catalunya), Jordi Guàrdia, Enric Nart (Universitat Autònoma de Barcelona), Joaquím Roé (Universitat Autònoma de Barcelona)
Communications in Algebra
DOI: 10.1080/00927872.2023.2241077 (Mathematics)
License: not stated (all rights reserved)
Abstract: We construct a field K and a valuation-algebraic valuation on K[x], whose underlying Maclane–Vaquié chain consists of an infinite (countable) number of limit augmentations.Communicated by Adrian Wadsworth
Published on 08 Aug. 2023