Summary
In the present work we give a generalization of the concept of « ring henselian with respect to its idealm », by introducing the concept of « ring henselian with respect to the idealm and the linear topology τ ». Then we get the henselization of a triple (A,m, τ) (ring, ideal, linear topology) and investigate its relations with completion, mainly in the «m-adic » situation. Among our results there is also a reformulation, with less restrictive hypothesis, of the Hensel lemma as it is given in Bourbaki.
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Entrata in Redazione il 24 marzo 1971.
Lavoro eseguito nell'ambito dei Contratti di ricerca del Comitato Nazionale per la matematica del C.N.R.
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Valabrega, P. Anelli Henseliani topologici. Annali di Matematica 91, 283–303 (1971). https://doi.org/10.1007/BF02428820
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DOI: https://doi.org/10.1007/BF02428820