On the Theory of Henselian Rings, II

Masayoshi Nagata
1954 Nagoya mathematical journal  
In a previous paper, we studied a general theory of integrally closed Henselian integrity domains and some properties of Henselian valuation rings. The present paper is its continuation. The main aim of the present paper is to study a general theory of Henselian local integrity domains in the present paper we call a ring o a local ring if o is a quasi-local ring and if the intersection of all powers of the maximal ideal of o is zero, and in this case we introduce a topology by taking the system
more » ... of all powers of the maximal ideal as a system of neighbourhoods of zero.
doi:10.1017/s002776300001802x fatcat:sim4xspkhjc23n5cwnmt53bv6i