1953/02/01 by Masayoshi Nagata · 66 citations
Mathematics · #Rings, Modules, and Algebras #Commutative Algebra and Its Applications #Integrally closed #Mathematics #Pure mathematics #Algebra over a field
paper · pdf · doi:10.1017/s0027763000015439
published in Nagoya Mathematical Journal 5, 45-57 (Cambridge University Press)
openalex publication_date 1953/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
The notion of Henselian rings was introduced by G. Azuma-ya [l]. We concern ourselves in the present paper mainly with Henselizations of integrally closed integrity domains. Chapter I deals with general integrally closed integrity domains. As a preparation of our studies, we introduce the notion of decomposition rings analogously as in the case of fields (§1). And then we define the notions of (local) Henselian rings and Henselizations of integrally closed integrity domains, and obtain several results concerning characterizations of Henselian rings and the uniqeness of Henselizations (§2).